Cremona's table of elliptic curves

7200 = 2⁵ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5-	Signs for the Atkin-Lehner involutions
Class	7200y	Isogeny class
Conductor	7200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	7381125000000 = 26 · 310 · 59	Discriminant
Eigenvalues	2+ 3- 5-  4  0 -4  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-121125,-16225000]	[a1,a2,a3,a4,a6]
Generators	[165823:2120238:343]	Generators of the group modulo torsion
j	2156689088/81	j-invariant
L	4.5937133526288	L(r)(E,1)/r!
Ω	0.25591284554742	Real period
R	8.9751519561325	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	7200z1 14400fe2 2400z1 7200ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7200y1

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

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Quadratic twists for elliptic curve 7200y1

-4	8	-3	5
7200z1	14400fe2	2400z1	7200ca1

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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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