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	94864bi	Isogeny class
Conductor	94864	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	163403145989776 = 24 · 78 · 116	Discriminant
Eigenvalues	2- -1  3 7+ 11- -2 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-843894,-298105289]	[a1,a2,a3,a4,a6]
Generators	[-613216695:25053839:1157625]	Generators of the group modulo torsion
j	406749952	j-invariant
L	6.1953275179594	L(r)(E,1)/r!
Ω	0.15751706138747	Real period
R	13.110384077025	Regulator
r	1	Rank of the group of rational points
S	0.9999999996025	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23716a2 94864ci2 784g2	Quadratic twists by: -4 -7 -11

Hecke Eigenvalues for elliptic curve 94864bi2

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	3	+	-	-2	-3	-1	-3	6	7	-1	-6	-4	9	3	-9	1	7	0	1	-13	12	15	-10

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Quadratic twists for elliptic curve 94864bi2

-4	-7	-11
23716a2	94864ci2	784g2

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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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