Cremona's table of elliptic curves

23920 = 2⁴ · 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13- 23-	Signs for the Atkin-Lehner involutions
Class	23920c	Isogeny class
Conductor	23920	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-2631965440 = -1 · 28 · 5 · 132 · 233	Discriminant
Eigenvalues	2+ -2 5+ -3  0 13- -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-161,-2645]	[a1,a2,a3,a4,a6]
Generators	[46:299:1]	Generators of the group modulo torsion
j	-1814078464/10281115	j-invariant
L	2.3582428656636	L(r)(E,1)/r!
Ω	0.60090678627811	Real period
R	0.65407894632878	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	11960d1 95680bu1 119600a1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 23920c1

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	+	-3	0	-	-3	2	-	-5	9	-5	-5	-8	-10	5	1	-8	13	-9	12	6	13	2	2

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Quadratic twists for elliptic curve 23920c1

-4	8	5
11960d1	95680bu1	119600a1

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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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