Cremona's table of elliptic curves

9270 = 2 · 3² · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 103-	Signs for the Atkin-Lehner involutions
Class	9270z	Isogeny class
Conductor	9270	Conductor
∏ cp	126	Product of Tamagawa factors cp
Δ	-177152458752000 = -1 · 221 · 38 · 53 · 103	Discriminant
Eigenvalues	2- 3- 5- -4 -3 -1  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1221377,519850001]	[a1,a2,a3,a4,a6]
Generators	[-9:23044:1]	Generators of the group modulo torsion
j	-276404470414874902729/243007488000	j-invariant
L	6.1296059678349	L(r)(E,1)/r!
Ω	0.47660192896154	Real period
R	0.91864713736363	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	74160bq2 3090d2 46350o2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9270z2

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	-3	-1	0	8	6	0	-10	2	-3	-4	3	-6	-6	-4	-10	-12	-7	-1	15	12	2

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Quadratic twists for elliptic curve 9270z2

-4	-3	5
74160bq2	3090d2	46350o2

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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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