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	22800cx	Isogeny class
Conductor	22800	Conductor
∏ cp	224	Product of Tamagawa factors cp
Δ	2526422400000000 = 213 · 37 · 58 · 192	Discriminant
Eigenvalues	2- 3- 5+  2  4 -6 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9330408,10966699188]	[a1,a2,a3,a4,a6]
Generators	[1638:9000:1]	Generators of the group modulo torsion
j	1403607530712116449/39475350	j-invariant
L	6.8286845497675	L(r)(E,1)/r!
Ω	0.33400312526984	Real period
R	0.36508878601973	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	2850c2 91200fy2 68400ei2 4560m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800cx2

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	4	-6	-4	+	0	-10	2	2	8	-8	0	6	2	2	4	0	10	2	-10	-12	2

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Quadratic twists for elliptic curve 22800cx2

-4	8	-3	5
2850c2	91200fy2	68400ei2	4560m2

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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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