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	-2235331 = -1 · 76 · 19	Discriminant
Eigenvalues	0  2 -3 7-  3  4  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-37697,2829742]	[a1,a2,a3,a4,a6]
j	-50357871050752/19	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	14896bg3 59584bn3 8379f3 23275i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 931b3

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 931b3

-4	8	-3	5	-7	-11	-19
14896bg3	59584bn3	8379f3	23275i3	19a2	112651l3	17689g3

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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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