Cremona's table of elliptic curves

10094 = 2 · 7² · 103

Field	Data	Notes
Atkin-Lehner	2+ 7- 103+	Signs for the Atkin-Lehner involutions
Class	10094d	Isogeny class
Conductor	10094	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-48471388 = -1 · 22 · 76 · 103	Discriminant
Eigenvalues	2+ -2 -4 7- -6  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,72,242]	[a1,a2,a3,a4,a6]
Generators	[-1:13:1] [4:22:1]	Generators of the group modulo torsion
j	357911/412	j-invariant
L	2.653477802236	L(r)(E,1)/r!
Ω	1.3396441339966	Real period
R	0.99036667085692	Regulator
r	2	Rank of the group of rational points
S	0.99999999999911	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	80752s1 90846dj1 206a1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 10094d1

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	-4	-	-6	2	-2	4	0	-6	-8	8	-2	2	8	-12	-12	-10	-2	0	-10	0	4	-2	-14

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Quadratic twists for elliptic curve 10094d1

-4	-3	-7
80752s1	90846dj1	206a1

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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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