Cremona's table of elliptic curves

14350 = 2 · 5² · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 41-	Signs for the Atkin-Lehner involutions
Class	14350t	Isogeny class
Conductor	14350	Conductor
∏ cp	100	Product of Tamagawa factors cp
deg	28800	Modular degree for the optimal curve
Δ	-18064002252800 = -1 · 220 · 52 · 75 · 41	Discriminant
Eigenvalues	2- -1 5+ 7-  2 -1 -2 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,722,204651]	[a1,a2,a3,a4,a6]
j	1664783262455/722560090112	j-invariant
L	2.1454547221172	L(r)(E,1)/r!
Ω	0.53636368052931	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	114800bg1 129150bd1 14350g2 100450bj1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14350t1

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
-	-1	+	-	2	-1	-2	-5	-1	0	-8	-7	-	-1	3	-6	10	12	8	2	14	10	-16	5	13

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Quadratic twists for elliptic curve 14350t1

-4	-3	5	-7
114800bg1	129150bd1	14350g2	100450bj1

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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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