Cremona's table of elliptic curves

23716 = 2² · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	23716a	Isogeny class
Conductor	23716	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	[430:3863:1]	Generators of the group modulo torsion
j	406749952	j-invariant
L	7.4546553456026	L(r)(E,1)/r!
Ω	0.49697278943833	Real period
R	5.0000425938998	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	94864bi2 23716h2 196b2	Quadratic twists by: -4 -7 -11

Hecke Eigenvalues for elliptic curve 23716a2

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 23716a2

-4	-7	-11
94864bi2	23716h2	196b2

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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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