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	22800cj	Isogeny class
Conductor	22800	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	5130000 = 24 · 33 · 54 · 19	Discriminant
Eigenvalues	2- 3+ 5-  1  0 -4  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-58,-113]	[a1,a2,a3,a4,a6]
Generators	[-3:5:1]	Generators of the group modulo torsion
j	2195200/513	j-invariant
L	4.1538698427352	L(r)(E,1)/r!
Ω	1.7566533324849	Real period
R	0.78821657939366	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	5700q1 91200ja1 68400fw1 22800cs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800cj1

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 22800cj1

-4	8	-3	5
5700q1	91200ja1	68400fw1	22800cs1

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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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