Cremona's table of elliptic curves

14960 = 2⁴ · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 11+ 17-	Signs for the Atkin-Lehner involutions
Class	14960g	Isogeny class
Conductor	14960	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-19148800 = -1 · 212 · 52 · 11 · 17	Discriminant
Eigenvalues	2-  2 5+ -3 11+  0 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-21,221]	[a1,a2,a3,a4,a6]
Generators	[-4:15:1]	Generators of the group modulo torsion
j	-262144/4675	j-invariant
L	5.6955247618018	L(r)(E,1)/r!
Ω	1.830207321555	Real period
R	1.5559780290254	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	935a1 59840br1 74800bh1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 14960g1

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

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Quadratic twists for elliptic curve 14960g1

-4	8	5
935a1	59840br1	74800bh1

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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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