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	23520m	Isogeny class
Conductor	23520	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	73728	Modular degree for the optimal curve
Δ	329479130433600 = 26 · 36 · 52 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-43626,-3411360]	[a1,a2,a3,a4,a6]
Generators	[-123:330:1]	Generators of the group modulo torsion
j	1219555693504/43758225	j-invariant
L	5.9681976636956	L(r)(E,1)/r!
Ω	0.33106961859873	Real period
R	3.0045028439216	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	23520bc1 47040bb2 70560du1 117600ek1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520m1

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

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Quadratic twists for elliptic curve 23520m1

-4	8	-3	5	-7
23520bc1	47040bb2	70560du1	117600ek1	3360g1

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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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