Cremona's table of elliptic curves

22800 = 2⁴ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	22800cf	Isogeny class
Conductor	22800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	171000000000000 = 212 · 32 · 512 · 19	Discriminant
Eigenvalues	2- 3+ 5+ -2  2  4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-37408,2725312]	[a1,a2,a3,a4,a6]
Generators	[82:450:1]	Generators of the group modulo torsion
j	90458382169/2671875	j-invariant
L	4.278239334332	L(r)(E,1)/r!
Ω	0.56964853229893	Real period
R	1.8775784943509	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	1425g2 91200ht2 68400fl2 4560y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800cf2

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
-	+	+	-2	2	4	-2	-	-4	4	0	0	0	-10	12	2	-4	2	-16	0	2	8	-12	0	16

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Quadratic twists for elliptic curve 22800cf2

-4	8	-3	5
1425g2	91200ht2	68400fl2	4560y2

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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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