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	22800bc	Isogeny class
Conductor	22800	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	5921302500000000 = 28 · 38 · 510 · 192	Discriminant
Eigenvalues	2+ 3- 5+  0 -4  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-70508,6158988]	[a1,a2,a3,a4,a6]
Generators	[-122:3600:1]	Generators of the group modulo torsion
j	9691367618896/1480325625	j-invariant
L	6.2097716726347	L(r)(E,1)/r!
Ω	0.40795703196335	Real period
R	1.902703957188	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11400a2 91200fa2 68400bv2 4560d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22800bc2

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
+	-	+	0	-4	2	-2	-	0	6	0	-6	-6	4	8	-6	12	-2	4	-8	6	-16	-4	-6	-10

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Quadratic twists for elliptic curve 22800bc2

-4	8	-3	5
11400a2	91200fa2	68400bv2	4560d2

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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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