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	14700x	Isogeny class
Conductor	14700	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	483840	Modular degree for the optimal curve
Δ	-183861121893750000 = -1 · 24 · 36 · 58 · 79	Discriminant
Eigenvalues	2- 3+ 5- 7-  5  2  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12247958,-16494399963]	[a1,a2,a3,a4,a6]
j	-805661175040/729	j-invariant
L	2.5824598867009	L(r)(E,1)/r!
Ω	0.040350935729702	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800ke1 44100dr1 14700bj1 14700bx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14700x1

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
-	+	-	-	5	2	2	6	-1	3	4	5	4	7	10	-2	10	8	-7	-3	-2	-11	-8	14	0

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Quadratic twists for elliptic curve 14700x1

-4	-3	5	-7
58800ke1	44100dr1	14700bj1	14700bx1

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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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