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	2480b	Isogeny class
Conductor	2480	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-387500000000 = -1 · 28 · 511 · 31	Discriminant
Eigenvalues	2+  1 5+  0  0 -2  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7201,234715]	[a1,a2,a3,a4,a6]
Generators	[54:79:1]	Generators of the group modulo torsion
j	-161332732109824/1513671875	j-invariant
L	3.452399978154	L(r)(E,1)/r!
Ω	0.95492200418735	Real period
R	3.6153737823771	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	1240a1 9920ba1 22320m1 12400d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2480b1

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	0	-2	3	-1	0	6	+	3	-11	-9	-10	-1	-13	8	-2	-3	-7	-2	-9	4	14

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Quadratic twists for elliptic curve 2480b1

-4	8	-3	5	-7	-31
1240a1	9920ba1	22320m1	12400d1	121520z1	76880c1

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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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