Cremona's table of elliptic curves

23520 = 2⁵ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	23520bu	Isogeny class
Conductor	23520	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	193697313600 = 26 · 3 · 52 · 79	Discriminant
Eigenvalues	2- 3- 5+ 7-  6 -4 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-67146,6674604]	[a1,a2,a3,a4,a6]
j	4446542056384/25725	j-invariant
L	1.7906639091501	L(r)(E,1)/r!
Ω	0.89533195457504	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23520bi1 47040fq2 70560bz1 117600be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520bu1

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
-	-	+	-	6	-4	-6	-6	-4	-2	2	6	-6	-12	0	-4	4	10	-12	2	-16	4	12	6	12

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Quadratic twists for elliptic curve 23520bu1

-4	8	-3	5	-7
23520bi1	47040fq2	70560bz1	117600be1	3360r1

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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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