Cremona's table of elliptic curves

94864 = 2⁴ · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	94864q	Isogeny class
Conductor	94864	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1105920	Modular degree for the optimal curve
Δ	-3479833396998269696 = -1 · 28 · 78 · 119	Discriminant
Eigenvalues	2+ -1  1 7- 11-  0 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7905,-89748371]	[a1,a2,a3,a4,a6]
Generators	[1790472:105719999:512]	Generators of the group modulo torsion
j	-1024/65219	j-invariant
L	5.7202265324654	L(r)(E,1)/r!
Ω	0.11431406219783	Real period
R	6.2549462576628	Regulator
r	1	Rank of the group of rational points
S	1.0000000014204	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	47432v1 13552f1 8624b1	Quadratic twists by: -4 -7 -11

Hecke Eigenvalues for elliptic curve 94864q1

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	1	-	-	0	-2	2	7	10	7	-9	-2	-4	8	2	-15	-14	-3	-3	10	10	0	11	-7

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Quadratic twists for elliptic curve 94864q1

-4	-7	-11
47432v1	13552f1	8624b1

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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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