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	23520r	Isogeny class
Conductor	23520	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-948899895648768000 = -1 · 212 · 38 · 53 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4  2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-226641,62544159]	[a1,a2,a3,a4,a6]
Generators	[177:5292:1]	Generators of the group modulo torsion
j	-2671731885376/1969120125	j-invariant
L	6.4533297023148	L(r)(E,1)/r!
Ω	0.2565803060755	Real period
R	1.571956603232	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	23520bh2 47040bp1 70560ee2 117600fd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520r2

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
+	-	+	-	4	2	2	-8	0	-2	0	-6	-2	4	-8	-6	0	2	4	4	2	4	12	-18	-6

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Quadratic twists for elliptic curve 23520r2

-4	8	-3	5	-7
23520bh2	47040bp1	70560ee2	117600fd2	3360f4

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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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