Cremona's table of elliptic curves

22320 = 2⁴ · 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 31+	Signs for the Atkin-Lehner involutions
Class	22320o	Isogeny class
Conductor	22320	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	179345664000 = 211 · 36 · 53 · 312	Discriminant
Eigenvalues	2+ 3- 5-  0  2  2  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-47907,4035906]	[a1,a2,a3,a4,a6]
Generators	[157:-620:1]	Generators of the group modulo torsion
j	8144476196418/120125	j-invariant
L	6.2349148167915	L(r)(E,1)/r!
Ω	0.92611670283583	Real period
R	0.28051337004378	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	11160i2 89280ec2 2480a2 111600v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22320o2

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	0	8	-2	0	+	-10	2	-8	-12	10	0	-12	-12	8	-16	-12	-12	10	-2

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Quadratic twists for elliptic curve 22320o2

-4	8	-3	5
11160i2	89280ec2	2480a2	111600v2

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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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