Cremona's table of elliptic curves

2470 = 2 · 5 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 13- 19-	Signs for the Atkin-Lehner involutions
Class	2470d	Isogeny class
Conductor	2470	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-1027520 = -1 · 26 · 5 · 132 · 19	Discriminant
Eigenvalues	2-  0 5+  2  4 13- -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-33,-79]	[a1,a2,a3,a4,a6]
j	-3862503009/1027520	j-invariant
L	2.9539436665044	L(r)(E,1)/r!
Ω	0.98464788883481	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	19760q1 79040q1 22230t1 12350d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2470d1

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	-	-2	-	4	4	-10	10	12	10	-6	-6	-4	2	12	10	-8	-8	4	4	6

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Quadratic twists for elliptic curve 2470d1

-4	8	-3	5	-7	13	-19
19760q1	79040q1	22230t1	12350d1	121030bb1	32110o1	46930f1

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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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