Cremona's table of elliptic curves

2320 = 2⁴ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	2320f	Isogeny class
Conductor	2320	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	593920 = 212 · 5 · 29	Discriminant
Eigenvalues	2-  0 5+  2  6  2 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-43,-102]	[a1,a2,a3,a4,a6]
j	2146689/145	j-invariant
L	1.872289595119	L(r)(E,1)/r!
Ω	1.872289595119	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	145a1 9280r1 20880cn1 11600q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320f1

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	6	2	-2	2	-2	+	-2	10	2	-8	12	-6	8	-6	-2	12	-6	10	14	18	2

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Quadratic twists for elliptic curve 2320f1

-4	8	-3	5	-7	29
145a1	9280r1	20880cn1	11600q1	113680bl1	67280l1

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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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