Cremona's table of elliptic curves

2275 = 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	2275g	Isogeny class
Conductor	2275	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	4223457875 = 53 · 7 · 136	Discriminant
Eigenvalues	1  2 5- 7-  6 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-415,750]	[a1,a2,a3,a4,a6]
j	63473450669/33787663	j-invariant
L	3.638830094698	L(r)(E,1)/r!
Ω	1.2129433648993	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36400cq2 20475bi2 2275f2 15925u2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2275g2

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	2	-	-	6	-	2	0	0	-2	8	-2	-4	4	12	0	4	-14	4	-2	6	16	4	0	-10

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Quadratic twists for elliptic curve 2275g2

-4	-3	5	-7	13
36400cq2	20475bi2	2275f2	15925u2	29575q2

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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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