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	2320g	Isogeny class
Conductor	2320	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1076480 = -1 · 28 · 5 · 292	Discriminant
Eigenvalues	2-  0 5+  0  2 -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,17,42]	[a1,a2,a3,a4,a6]
Generators	[114:1218:1]	Generators of the group modulo torsion
j	2122416/4205	j-invariant
L	2.9289129199148	L(r)(E,1)/r!
Ω	1.9055807476033	Real period
R	3.0740370604588	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	580a2 9280o2 20880cg2 11600y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320g2

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

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Quadratic twists for elliptic curve 2320g2

-4	8	-3	5	-7	29
580a2	9280o2	20880cg2	11600y2	113680br2	67280j2

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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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