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
deg	480	Modular degree for the optimal curve
Δ	1350208 = 26 · 172 · 73	Discriminant
Eigenvalues	2+  0  0  0 -2  4 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-442,-3468]	[a1,a2,a3,a4,a6]
j	9561875765625/1350208	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	19856c1 79424b1 22338l1 62050y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2482a1

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 2482a1

-4	8	-3	5	-7	17
19856c1	79424b1	22338l1	62050y1	121618d1	42194a1

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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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