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	14880h	Isogeny class
Conductor	14880	Conductor
∏ cp	240	Product of Tamagawa factors cp
Δ	817143681600000 = 29 · 312 · 55 · 312	Discriminant
Eigenvalues	2+ 3- 5-  0  2 -6  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-25800,-816552]	[a1,a2,a3,a4,a6]
Generators	[-114:810:1]	Generators of the group modulo torsion
j	3709622372097608/1595983753125	j-invariant
L	6.2421857143025	L(r)(E,1)/r!
Ω	0.39166402244724	Real period
R	0.26562671731157	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	14880f2 29760bm2 44640bh2 74400br2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880h2

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	-6	0	4	-6	0	+	-2	6	-4	-8	6	0	-8	4	-16	12	4	-8	6	-2

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Quadratic twists for elliptic curve 14880h2

-4	8	-3	5
14880f2	29760bm2	44640bh2	74400br2

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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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