Cremona's table of elliptic curves

1422 = 2 · 3² · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 79-	Signs for the Atkin-Lehner involutions
Class	1422i	Isogeny class
Conductor	1422	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	15097135104 = 218 · 36 · 79	Discriminant
Eigenvalues	2- 3- -3 -1  0  5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-46949,3927197]	[a1,a2,a3,a4,a6]
j	15698803397448457/20709376	j-invariant
L	2.1108520330218	L(r)(E,1)/r!
Ω	1.0554260165109	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11376n3 45504z3 158d2 35550o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1422i3

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
-	-	-3	-1	0	5	0	2	6	0	-4	2	12	8	9	-6	9	8	-4	9	2	-	-18	-9	17

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Quadratic twists for elliptic curve 1422i3

-4	8	-3	5	-7	-79
11376n3	45504z3	158d2	35550o3	69678bs3	112338w3

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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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