Cremona's table of elliptic curves

94640 = 2⁴ · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	94640br	Isogeny class
Conductor	94640	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	110592	Modular degree for the optimal curve
Δ	-802522972160 = -1 · 214 · 5 · 73 · 134	Discriminant
Eigenvalues	2- -1 5+ 7+  0 13+ -3 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-56,43120]	[a1,a2,a3,a4,a6]
Generators	[-30:130:1] [-4:208:1]	Generators of the group modulo torsion
j	-169/6860	j-invariant
L	8.2131228065726	L(r)(E,1)/r!
Ω	0.71375037871358	Real period
R	0.95891633961737	Regulator
r	2	Rank of the group of rational points
S	0.99999999998711	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11830c1 94640cw1	Quadratic twists by: -4 13

Hecke Eigenvalues for elliptic curve 94640br1

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
-	-1	+	+	0	+	-3	-8	-6	9	4	2	0	10	-9	-12	-6	2	-14	-3	-13	1	-9	-12	-7

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Quadratic twists for elliptic curve 94640br1

-4	13
11830c1	94640cw1

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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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