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	9270x	Isogeny class
Conductor	9270	Conductor
∏ cp	1008	Product of Tamagawa factors cp
Δ	-1.038002688E+21	Discriminant
Eigenvalues	2- 3- 5-  2 -3 -4  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1899058,1177721309]	[a1,a2,a3,a4,a6]
Generators	[-423:17491:1]	Generators of the group modulo torsion
j	1038989323857072944231/1423872000000000000	j-invariant
L	7.0223862766235	L(r)(E,1)/r!
Ω	0.10510100875091	Real period
R	0.5965677990632	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	74160bo2 3090c2 46350l2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9270x2

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	-3	-4	0	-7	3	3	-7	-7	-6	2	12	6	-6	-4	8	-6	2	-10	0	-15	-13

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Quadratic twists for elliptic curve 9270x2

-4	-3	5
74160bo2	3090c2	46350l2

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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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