Cremona's table of elliptic curves

2226 = 2 · 3 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 53+	Signs for the Atkin-Lehner involutions
Class	2226g	Isogeny class
Conductor	2226	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	7.7812745140299E+23	Discriminant
Eigenvalues	2- 3+ -2 7+  2 -6 -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-32363629,56737522595]	[a1,a2,a3,a4,a6]
j	3748826618500186394995327057/778127451402990001324032	j-invariant
L	1.6967295942697	L(r)(E,1)/r!
Ω	0.084836479713485	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	17808ba2 71232bi2 6678e2 55650be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2226g2

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

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Quadratic twists for elliptic curve 2226g2

-4	8	-3	5	-7	53
17808ba2	71232bi2	6678e2	55650be2	15582v2	117978e2

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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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