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	94864bq	Isogeny class
Conductor	94864	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	7299072	Modular degree for the optimal curve
Δ	-4.0939891932345E+23	Discriminant
Eigenvalues	2-  1 -1 7- 11+  0  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,11826379,-26503310737]	[a1,a2,a3,a4,a6]
Generators	[3830756179:270406170622:1030301]	Generators of the group modulo torsion
j	2575826944/5764801	j-invariant
L	6.0180017320583	L(r)(E,1)/r!
Ω	0.049069300379579	Real period
R	15.330363594245	Regulator
r	1	Rank of the group of rational points
S	1.000000000496	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23716b1 13552j1 94864bp1	Quadratic twists by: -4 -7 -11

Hecke Eigenvalues for elliptic curve 94864bq1

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	0	-8	3	-8	1	3	8	8	4	6	-9	-8	-3	-7	8	0	8	-7	7

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Quadratic twists for elliptic curve 94864bq1

-4	-7	-11
23716b1	13552j1	94864bp1

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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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