Cremona's table of elliptic curves

7931 = 7 · 11 · 103

Field	Data	Notes
Atkin-Lehner	7- 11- 103+	Signs for the Atkin-Lehner involutions
Class	7931b	Isogeny class
Conductor	7931	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	8768	Modular degree for the optimal curve
Δ	-280194299 = -1 · 74 · 11 · 1032	Discriminant
Eigenvalues	-2 -3  3 7- 11-  0 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-181,-1236]	[a1,a2,a3,a4,a6]
Generators	[52:360:1]	Generators of the group modulo torsion
j	-655781916672/280194299	j-invariant
L	1.6374132435421	L(r)(E,1)/r!
Ω	0.63751773384367	Real period
R	0.32105248933036	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	126896j1 71379c1 55517e1 87241b1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7931b1

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	-3	3	-	-	0	-4	-6	3	6	5	1	-8	12	0	-10	-3	-8	-1	15	-8	-8	-14	-15	5

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Quadratic twists for elliptic curve 7931b1

-4	-3	-7	-11
126896j1	71379c1	55517e1	87241b1

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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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