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	14880j	Isogeny class
Conductor	14880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	957506572800 = 29 · 34 · 52 · 314	Discriminant
Eigenvalues	2- 3+ 5-  0  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-21920,-1240968]	[a1,a2,a3,a4,a6]
Generators	[1482:8085:8]	Generators of the group modulo torsion
j	2275072354448648/1870130025	j-invariant
L	4.8509533143267	L(r)(E,1)/r!
Ω	0.39238210885869	Real period
R	6.1814150095127	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14880r3 29760ce4 44640j4 74400y4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880j2

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	4	2	2	0	0	-6	+	-6	-6	-4	0	10	8	-14	-8	0	-14	8	-12	-6	2

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Quadratic twists for elliptic curve 14880j2

-4	8	-3	5
14880r3	29760ce4	44640j4	74400y4

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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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