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	9270w	Isogeny class
Conductor	9270	Conductor
∏ cp	648	Product of Tamagawa factors cp
Δ	-115333632000000000 = -1 · 218 · 37 · 59 · 103	Discriminant
Eigenvalues	2- 3- 5- -1  0 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-88052,19208279]	[a1,a2,a3,a4,a6]
Generators	[-363:1981:1]	Generators of the group modulo torsion
j	-103564099802433529/158208000000000	j-invariant
L	6.7258709399745	L(r)(E,1)/r!
Ω	0.2985777606426	Real period
R	0.312866149057	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	74160bl3 3090b3 46350h3	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9270w3

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	3	2	-6	-6	5	-7	0	-10	-9	12	0	-1	-4	12	-7	-10	-6	9	-10

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Quadratic twists for elliptic curve 9270w3

-4	-3	5
74160bl3	3090b3	46350h3

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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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