Cremona's table of elliptic curves

6622 = 2 · 7 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 7- 11- 43-	Signs for the Atkin-Lehner involutions
Class	6622j	Isogeny class
Conductor	6622	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-1049422122490588 = -1 · 22 · 73 · 112 · 436	Discriminant
Eigenvalues	2- -2  0 7- 11- -4  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10903,-1619931]	[a1,a2,a3,a4,a6]
Generators	[266:3651:1]	Generators of the group modulo torsion
j	-143338956306288625/1049422122490588	j-invariant
L	4.3854290964006	L(r)(E,1)/r!
Ω	0.20680435455063	Real period
R	1.1780939058534	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	52976o4 59598i4 46354be4 72842f4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 6622j4

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	0	-	-	-4	0	8	0	-6	-4	-10	0	-	0	6	12	-10	-4	12	2	8	-18	0	-10

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Quadratic twists for elliptic curve 6622j4

-4	-3	-7	-11
52976o4	59598i4	46354be4	72842f4

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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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