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	-1467476097472 = -1 · 26 · 7 · 116 · 432	Discriminant
Eigenvalues	2- -2  0 7- 11- -4  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1197,56161]	[a1,a2,a3,a4,a6]
Generators	[62:577:1]	Generators of the group modulo torsion
j	189663380471375/1467476097472	j-invariant
L	4.3854290964006	L(r)(E,1)/r!
Ω	0.62041306365188	Real period
R	3.5342817175601	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	52976o2 59598i2 46354be2 72842f2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 6622j2

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 6622j2

-4	-3	-7	-11
52976o2	59598i2	46354be2	72842f2

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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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