Cremona's table of elliptic curves

7392 = 2⁵ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	7392a	Isogeny class
Conductor	7392	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	80640	Modular degree for the optimal curve
Δ	-415076813389199808 = -1 · 26 · 36 · 73 · 1110	Discriminant
Eigenvalues	2+ 3+  0 7+ 11+ -2  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-24018,-31022280]	[a1,a2,a3,a4,a6]
Generators	[79515318:2647504872:68921]	Generators of the group modulo torsion
j	-23942656868248000/6485575209206247	j-invariant
L	3.3804632680853	L(r)(E,1)/r!
Ω	0.13360770711488	Real period
R	12.650704592882	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7392n1 14784y1 22176n1 51744bi1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7392a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	0	+	+	-2	4	6	4	-2	-10	-6	-12	12	6	-6	0	6	4	8	8	-16	2	10	-14

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Quadratic twists for elliptic curve 7392a1

-4	8	-3	-7	-11
7392n1	14784y1	22176n1	51744bi1	81312be1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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