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	22320bn	Isogeny class
Conductor	22320	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	9927428146790400 = 216 · 38 · 52 · 314	Discriminant
Eigenvalues	2- 3- 5+  0 -4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2767683,-1772233918]	[a1,a2,a3,a4,a6]
j	785209010066844481/3324675600	j-invariant
L	0.93639818977749	L(r)(E,1)/r!
Ω	0.11704977372219	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2790g4 89280fq4 7440o4 111600ev4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22320bn4

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	-4	6	-2	-4	-8	-6	-	-2	-10	4	0	10	-12	-2	4	0	2	0	4	14	18

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Quadratic twists for elliptic curve 22320bn4

-4	8	-3	5
2790g4	89280fq4	7440o4	111600ev4

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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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