Cremona's table of elliptic curves

4662 = 2 · 3² · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 37-	Signs for the Atkin-Lehner involutions
Class	4662d	Isogeny class
Conductor	4662	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	9600	Modular degree for the optimal curve
Δ	-2009958045984 = -1 · 25 · 311 · 7 · 373	Discriminant
Eigenvalues	2+ 3- -1 7+  4 -6 -2 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3645,109669]	[a1,a2,a3,a4,a6]
Generators	[29:152:1]	Generators of the group modulo torsion
j	-7347774183121/2757144096	j-invariant
L	2.5104736495546	L(r)(E,1)/r!
Ω	0.77922184676417	Real period
R	0.53696168384303	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	37296ck1 1554h1 116550ev1 32634bf1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4662d1

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
+	-	-1	+	4	-6	-2	-1	4	8	6	-	9	2	-12	9	-10	-12	-5	-5	-8	0	-5	12	19

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Quadratic twists for elliptic curve 4662d1

-4	-3	5	-7
37296ck1	1554h1	116550ev1	32634bf1

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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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