Cremona's table of elliptic curves

9394 = 2 · 7 · 11 · 61

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11+ 61+	Signs for the Atkin-Lehner involutions
Class	9394a	Isogeny class
Conductor	9394	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	67968	Modular degree for the optimal curve
Δ	115148026028728 = 23 · 78 · 11 · 613	Discriminant
Eigenvalues	2+ -3  2 7+ 11+  5  5  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-22636,-1199240]	[a1,a2,a3,a4,a6]
Generators	[-2859:2630:27]	Generators of the group modulo torsion
j	1282725002617056153/115148026028728	j-invariant
L	2.3253641483144	L(r)(E,1)/r!
Ω	0.39145645073947	Real period
R	2.9701441168254	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	75152q1 84546bm1 65758g1 103334bk1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9394a1

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
+	-3	2	+	+	5	5	0	4	4	1	-5	-8	-11	-10	9	-6	+	0	7	4	-6	0	-18	-5

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Quadratic twists for elliptic curve 9394a1

-4	-3	-7	-11
75152q1	84546bm1	65758g1	103334bk1

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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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