Cremona's table of elliptic curves

2482 = 2 · 17 · 73

Field	Data	Notes
Atkin-Lehner	2+ 17+ 73-	Signs for the Atkin-Lehner involutions
Class	2482c	Isogeny class
Conductor	2482	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3080162 = 2 · 172 · 732	Discriminant
Eigenvalues	2+ -2 -2  0 -4 -4 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-37,6]	[a1,a2,a3,a4,a6]
Generators	[-2:9:1] [0:2:1]	Generators of the group modulo torsion
j	5386984777/3080162	j-invariant
L	2.0659200293542	L(r)(E,1)/r!
Ω	2.1659251146709	Real period
R	0.95382800419118	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19856f2 79424e2 22338m2 62050bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2482c2

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	-2	0	-4	-4	+	-8	-4	6	0	-12	-10	2	4	0	2	-8	-16	-4	-	-4	2	-10	14

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Quadratic twists for elliptic curve 2482c2

-4	8	-3	5	-7	17
19856f2	79424e2	22338m2	62050bb2	121618g2	42194g2

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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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