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	7392f	Isogeny class
Conductor	7392	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	118272 = 29 · 3 · 7 · 11	Discriminant
Eigenvalues	2+ 3- -2 7- 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2464,-47908]	[a1,a2,a3,a4,a6]
Generators	[1569:2492:27]	Generators of the group modulo torsion
j	3232601019656/231	j-invariant
L	4.5157717981329	L(r)(E,1)/r!
Ω	0.67760202260645	Real period
R	6.6643422650403	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7392j3 14784t3 22176x4 51744g4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7392f2

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
+	-	-2	-	+	-2	2	4	0	6	-8	-10	2	0	-12	-6	-4	14	-4	0	-10	8	16	-6	2

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Quadratic twists for elliptic curve 7392f2

-4	8	-3	-7	-11
7392j3	14784t3	22176x4	51744g4	81312bo4

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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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