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	23520c	Isogeny class
Conductor	23520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4648735526400 = -1 · 29 · 32 · 52 · 79	Discriminant
Eigenvalues	2+ 3+ 5+ 7- -2  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1944,-99000]	[a1,a2,a3,a4,a6]
j	39304/225	j-invariant
L	0.77421171813707	L(r)(E,1)/r!
Ω	0.38710585906855	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	23520o2 47040gw2 70560dw2 117600gy2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520c2

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	2	0	-4	0	-4	-6	-8	-10	10	6	10	12	-14	6	-16	-2	0	0	-10	2

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Quadratic twists for elliptic curve 23520c2

-4	8	-3	5	-7
23520o2	47040gw2	70560dw2	117600gy2	23520t2

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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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