Cremona's table of elliptic curves

14880 = 2⁵ · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 31-	Signs for the Atkin-Lehner involutions
Class	14880t	Isogeny class
Conductor	14880	Conductor
∏ cp	294	Product of Tamagawa factors cp
deg	84672	Modular degree for the optimal curve
Δ	-2606116680000000 = -1 · 29 · 37 · 57 · 313	Discriminant
Eigenvalues	2- 3- 5- -3 -3  2  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,18160,-2262312]	[a1,a2,a3,a4,a6]
Generators	[106:930:1]	Generators of the group modulo torsion
j	1293532570753912/5090071640625	j-invariant
L	5.6785979166791	L(r)(E,1)/r!
Ω	0.23124048832382	Real period
R	0.083527582216575	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	14880e1 29760k1 44640q1 74400n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880t1

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
-	-	-	-3	-3	2	0	7	1	-8	-	-8	8	-5	-2	-11	10	10	-6	-5	-11	-9	-8	13	2

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Quadratic twists for elliptic curve 14880t1

-4	8	-3	5
14880e1	29760k1	44640q1	74400n1

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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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