Cremona's table of elliptic curves

2618 = 2 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 7+ 11+ 17+	Signs for the Atkin-Lehner involutions
Class	2618d	Isogeny class
Conductor	2618	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12320	Modular degree for the optimal curve
Δ	-205799139629776 = -1 · 24 · 77 · 11 · 175	Discriminant
Eigenvalues	2-  0 -3 7+ 11+  7 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4699,702427]	[a1,a2,a3,a4,a6]
j	-11472376678929153/205799139629776	j-invariant
L	1.8991997092632	L(r)(E,1)/r!
Ω	0.47479992731579	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	20944n1 83776g1 23562l1 65450f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2618d1

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
-	0	-3	+	+	7	+	0	-3	3	2	8	0	9	-12	11	5	0	8	-9	6	10	10	14	-10

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Quadratic twists for elliptic curve 2618d1

-4	8	-3	5	-7	-11	17
20944n1	83776g1	23562l1	65450f1	18326z1	28798k1	44506y1

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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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