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	22800d	Isogeny class
Conductor	22800	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-246924000000 = -1 · 28 · 32 · 56 · 193	Discriminant
Eigenvalues	2+ 3+ 5+ -3  5  2  1 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1367,-14363]	[a1,a2,a3,a4,a6]
Generators	[76:723:1]	Generators of the group modulo torsion
j	70575104/61731	j-invariant
L	4.3755364041882	L(r)(E,1)/r!
Ω	0.5430276941	Real period
R	4.0288335675403	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	11400l1 91200ii1 68400bp1 912c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800d1

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
+	+	+	-3	5	2	1	+	4	-6	10	0	0	-11	9	-10	-4	-5	-4	-8	-13	-4	-4	-6	-2

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Quadratic twists for elliptic curve 22800d1

-4	8	-3	5
11400l1	91200ii1	68400bp1	912c1

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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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