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	2622a	Isogeny class
Conductor	2622	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	6600	Modular degree for the optimal curve
Δ	-4238100157152 = -1 · 25 · 3 · 193 · 235	Discriminant
Eigenvalues	2- 3+  2  0  6  7 -1 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2337,107199]	[a1,a2,a3,a4,a6]
j	-1411599396089233/4238100157152	j-invariant
L	3.4242619614431	L(r)(E,1)/r!
Ω	0.68485239228862	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20976o1 83904o1 7866h1 65550w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2622a1

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	6	7	-1	+	+	-2	4	-10	-5	-1	-4	5	2	-1	8	3	9	11	2	-6	-5

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Quadratic twists for elliptic curve 2622a1

-4	8	-3	5	-7	-19	-23
20976o1	83904o1	7866h1	65550w1	128478cy1	49818l1	60306t1

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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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