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	2482b	Isogeny class
Conductor	2482	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	79424 = 26 · 17 · 73	Discriminant
Eigenvalues	2+  0 -2 -4 -4 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-23,-35]	[a1,a2,a3,a4,a6]
Generators	[-3:2:1] [7:7:1]	Generators of the group modulo torsion
j	1378749897/79424	j-invariant
L	2.4780213416901	L(r)(E,1)/r!
Ω	2.1834592560352	Real period
R	2.2698123034271	Regulator
r	2	Rank of the group of rational points
S	0.99999999999994	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19856e1 79424d1 22338p1 62050z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2482b1

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	-2	-4	-4	-4	+	-4	2	-10	0	4	6	-8	-2	0	-4	-8	4	2	-	10	-12	10	-18

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Quadratic twists for elliptic curve 2482b1

-4	8	-3	5	-7	17
19856e1	79424d1	22338p1	62050z1	121618e1	42194b1

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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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