Cremona's table of elliptic curves

2480 = 2⁴ · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	2480k	Isogeny class
Conductor	2480	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-634880 = -1 · 212 · 5 · 31	Discriminant
Eigenvalues	2-  1 5+  0  4 -6  5  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-21,-61]	[a1,a2,a3,a4,a6]
Generators	[22:103:1]	Generators of the group modulo torsion
j	-262144/155	j-invariant
L	3.4892524295627	L(r)(E,1)/r!
Ω	1.0813946523395	Real period
R	3.2266226044433	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	155c1 9920bg1 22320cc1 12400w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480k1

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
-	1	+	0	4	-6	5	1	-8	-10	-	1	-3	7	6	5	-11	-12	2	-9	-9	10	-9	0	-14

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Quadratic twists for elliptic curve 2480k1

-4	8	-3	5	-7	-31
155c1	9920bg1	22320cc1	12400w1	121520cn1	76880o1

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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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