Cremona's table of elliptic curves

392 = 2³ · 7²

Field	Data	Notes
Atkin-Lehner	2- 7-	Signs for the Atkin-Lehner involutions
Class	392a	Isogeny class
Conductor	392	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5903156224 = 210 · 78	Discriminant
Eigenvalues	2-  0 -2 7- -4 -2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-931,-10290]	[a1,a2,a3,a4,a6]
Generators	[107:1056:1]	Generators of the group modulo torsion
j	740772/49	j-invariant
L	1.6420053998926	L(r)(E,1)/r!
Ω	0.86788635344347	Real period
R	3.7839180058026	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	784c2 3136e2 3528k2 9800d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 392a2

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	-2	6	-8	0	6	-8	-2	-2	-4	8	6	0	6	-4	-8	-10	16	-8	6	6

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Quadratic twists for elliptic curve 392a2

-4	8	-3	5	-7	-11	13	17
784c2	3136e2	3528k2	9800d2	56a2	47432g2	66248e2	113288v2

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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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