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	2320d	Isogeny class
Conductor	2320	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	11600000000 = 210 · 58 · 29	Discriminant
Eigenvalues	2+  0 5-  0  0 -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-827,7546]	[a1,a2,a3,a4,a6]
Generators	[-23:120:1]	Generators of the group modulo torsion
j	61085802564/11328125	j-invariant
L	3.1977916989553	L(r)(E,1)/r!
Ω	1.2104473557335	Real period
R	1.3209131664456	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	1160c3 9280m3 20880h3 11600g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320d3

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

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Quadratic twists for elliptic curve 2320d3

-4	8	-3	5	-7	29
1160c3	9280m3	20880h3	11600g3	113680d4	67280f4

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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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