Cremona's table of elliptic curves

14700 = 2² · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	14700u	Isogeny class
Conductor	14700	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-231621468750000 = -1 · 24 · 32 · 59 · 77	Discriminant
Eigenvalues	2- 3+ 5- 7-  4  2  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8167,672162]	[a1,a2,a3,a4,a6]
j	16384/63	j-invariant
L	2.3832141444843	L(r)(E,1)/r!
Ω	0.39720235741404	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	58800kc1 44100do1 14700bu1 2100p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14700u1

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
-	+	-	-	4	2	2	2	6	6	-6	4	0	4	4	2	-4	2	12	-8	14	16	16	-16	-14

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Quadratic twists for elliptic curve 14700u1

-4	-3	5	-7
58800kc1	44100do1	14700bu1	2100p1

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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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