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	2482a	Isogeny class
Conductor	2482	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3560667272 = 23 · 174 · 732	Discriminant
Eigenvalues	2+  0  0  0 -2  4 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-482,-2772]	[a1,a2,a3,a4,a6]
j	12398568773625/3560667272	j-invariant
L	1.04112198918	L(r)(E,1)/r!
Ω	1.04112198918	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19856c2 79424b2 22338l2 62050y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2482a2

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

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Quadratic twists for elliptic curve 2482a2

-4	8	-3	5	-7	17
19856c2	79424b2	22338l2	62050y2	121618d2	42194a2

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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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