Cremona's table of elliptic curves

3650 = 2 · 5² · 73

Field	Data	Notes
Atkin-Lehner	2- 5+ 73+	Signs for the Atkin-Lehner involutions
Class	3650l	Isogeny class
Conductor	3650	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5280	Modular degree for the optimal curve
Δ	-11406250000 = -1 · 24 · 510 · 73	Discriminant
Eigenvalues	2- -2 5+  4 -5 -4 -8  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-638,-8108]	[a1,a2,a3,a4,a6]
j	-2941225/1168	j-invariant
L	1.8633248037518	L(r)(E,1)/r!
Ω	0.46583120093794	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	29200o1 116800i1 32850q1 3650f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3650l1

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	+	4	-5	-4	-8	6	6	-2	-1	9	9	9	-5	6	7	-7	8	-8	+	-14	1	-1	9

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Quadratic twists for elliptic curve 3650l1

-4	8	-3	5
29200o1	116800i1	32850q1	3650f1

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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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