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	23520i	Isogeny class
Conductor	23520	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	1694145600 = 26 · 32 · 52 · 76	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-310,-608]	[a1,a2,a3,a4,a6]
Generators	[-8:36:1]	Generators of the group modulo torsion
j	438976/225	j-invariant
L	4.9695411428735	L(r)(E,1)/r!
Ω	1.2018224477426	Real period
R	2.0675022139119	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23520x1 47040gj2 70560dm1 117600gz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520i1

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

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Quadratic twists for elliptic curve 23520i1

-4	8	-3	5	-7
23520x1	47040gj2	70560dm1	117600gz1	480c1

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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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