Cremona's table of elliptic curves

14994 = 2 · 3² · 7² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 17+	Signs for the Atkin-Lehner involutions
Class	14994ck	Isogeny class
Conductor	14994	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	516096	Modular degree for the optimal curve
Δ	-5.3758703573829E+19	Discriminant
Eigenvalues	2- 3-  2 7-  6  0 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1470524,772080383]	[a1,a2,a3,a4,a6]
j	-4100379159705193/626805817344	j-invariant
L	5.3859891295613	L(r)(E,1)/r!
Ω	0.19235675462719	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	119952fd1 4998w1 2142q1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 14994ck1

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	-	6	0	+	2	0	4	0	8	2	-4	-8	14	-6	10	0	12	-14	4	-6	-14	6

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Quadratic twists for elliptic curve 14994ck1

-4	-3	-7
119952fd1	4998w1	2142q1

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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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