Cremona's table of elliptic curves

931 = 7² · 19

Field	Data	Notes
Atkin-Lehner	7- 19+	Signs for the Atkin-Lehner involutions
Class	931b	Isogeny class
Conductor	931	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-806954491 = -1 · 76 · 193	Discriminant
Eigenvalues	0  2 -3 7-  3  4  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-457,4157]	[a1,a2,a3,a4,a6]
j	-89915392/6859	j-invariant
L	1.5598943008958	L(r)(E,1)/r!
Ω	1.5598943008958	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14896bg2 59584bn2 8379f2 23275i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 931b2

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	-3	-	3	4	3	+	0	6	4	2	6	-1	3	12	6	1	-4	6	7	8	-12	-12	-8

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Quadratic twists for elliptic curve 931b2

-4	8	-3	5	-7	-11	-19
14896bg2	59584bn2	8379f2	23275i2	19a1	112651l2	17689g2

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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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