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	3650o	Isogeny class
Conductor	3650	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	15552	Modular degree for the optimal curve
Δ	765460480000000 = 227 · 57 · 73	Discriminant
Eigenvalues	2-  1 5+ -3  3  0 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-47438,3743492]	[a1,a2,a3,a4,a6]
Generators	[92:354:1]	Generators of the group modulo torsion
j	755585074684441/48989470720	j-invariant
L	5.4852641375697	L(r)(E,1)/r!
Ω	0.49592797285266	Real period
R	0.10241302272813	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	29200v1 116800q1 32850y1 730d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3650o1

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	+	-3	3	0	-6	-4	2	-1	-2	1	1	-6	-7	-12	9	0	-7	5	-	-1	-16	1	14

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Quadratic twists for elliptic curve 3650o1

-4	8	-3	5
29200v1	116800q1	32850y1	730d1

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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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