Cremona's table of elliptic curves

2622 = 2 · 3 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+ 23-	Signs for the Atkin-Lehner involutions
Class	2622b	Isogeny class
Conductor	2622	Conductor
∏ cp	44	Product of Tamagawa factors cp
Δ	3812095678464 = 211 · 33 · 194 · 232	Discriminant
Eigenvalues	2- 3+ -2 -2  6 -6  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-294739,61466321]	[a1,a2,a3,a4,a6]
Generators	[307:30:1]	Generators of the group modulo torsion
j	2831630759285559312817/3812095678464	j-invariant
L	3.5898407541628	L(r)(E,1)/r!
Ω	0.66610444694837	Real period
R	0.48993691749762	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	20976k2 83904q2 7866f2 65550u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2622b2

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	-6	4	+	-	2	-4	-8	-2	8	-8	-6	4	8	-8	-8	-10	-2	-6	-8	-6

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Quadratic twists for elliptic curve 2622b2

-4	8	-3	5	-7	-19	-23
20976k2	83904q2	7866f2	65550u2	128478da2	49818q2	60306r2

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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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