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	22800cs	Isogeny class
Conductor	22800	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	3215156250000 = 24 · 3 · 510 · 193	Discriminant
Eigenvalues	2- 3- 5+ -1  0  4  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-38958,2945463]	[a1,a2,a3,a4,a6]
Generators	[27797:196167:343]	Generators of the group modulo torsion
j	41850899200/20577	j-invariant
L	6.5292487692012	L(r)(E,1)/r!
Ω	0.78559925286756	Real period
R	8.3111697794624	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5700d2 91200ft2 68400eb2 22800cj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800cs2

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
-	-	+	-1	0	4	0	+	6	-9	4	-8	-3	-4	-6	-3	3	11	-10	9	-11	-2	-6	-15	10

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Quadratic twists for elliptic curve 22800cs2

-4	8	-3	5
5700d2	91200ft2	68400eb2	22800cj2

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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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