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	23716d	Isogeny class
Conductor	23716	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	20736	Modular degree for the optimal curve
Δ	17538171728 = 24 · 77 · 113	Discriminant
Eigenvalues	2-  2  2 7- 11+  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1437,20462]	[a1,a2,a3,a4,a6]
Generators	[-37:147:1]	Generators of the group modulo torsion
j	131072/7	j-invariant
L	8.9105507219904	L(r)(E,1)/r!
Ω	1.2129406235763	Real period
R	1.2243730304124	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	94864bu1 3388e1 23716e1	Quadratic twists by: -4 -7 -11

Hecke Eigenvalues for elliptic curve 23716d1

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

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Quadratic twists for elliptic curve 23716d1

-4	-7	-11
94864bu1	3388e1	23716e1

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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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