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	2622d	Isogeny class
Conductor	2622	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	33504747174 = 2 · 35 · 194 · 232	Discriminant
Eigenvalues	2- 3+ -2  2  2  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2419,43931]	[a1,a2,a3,a4,a6]
j	1565462029054897/33504747174	j-invariant
L	2.3293889469005	L(r)(E,1)/r!
Ω	1.1646944734502	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	20976i2 83904h2 7866i2 65550be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2622d2

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	2	2	0	-	-	2	-4	-4	6	-8	8	10	4	12	8	8	6	-6	14	12	2

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Quadratic twists for elliptic curve 2622d2

-4	8	-3	5	-7	-19	-23
20976i2	83904h2	7866i2	65550be2	128478cp2	49818p2	60306o2

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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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