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	7392n	Isogeny class
Conductor	7392	Conductor
∏ cp	720	Product of Tamagawa factors cp
Δ	5155569947781969408 = 29 · 312 · 76 · 115	Discriminant
Eigenvalues	2- 3-  0 7- 11- -2  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1634528,796336632]	[a1,a2,a3,a4,a6]
Generators	[-1022:37422:1]	Generators of the group modulo torsion
j	943259332190261813000/10069472554261659	j-invariant
L	5.166048614346	L(r)(E,1)/r!
Ω	0.24325521102726	Real period
R	0.1179841942892	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	7392a2 14784n2 22176e2 51744ca2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7392n2

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 7392n2

-4	8	-3	-7	-11
7392a2	14784n2	22176e2	51744ca2	81312r2

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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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