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	14994t	Isogeny class
Conductor	14994	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	198291271752 = 23 · 36 · 76 · 172	Discriminant
Eigenvalues	2+ 3-  0 7- -6 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-18972,1010344]	[a1,a2,a3,a4,a6]
Generators	[51:391:1]	Generators of the group modulo torsion
j	8805624625/2312	j-invariant
L	3.0486671939347	L(r)(E,1)/r!
Ω	0.9810341662795	Real period
R	0.77690138089089	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	119952en2 1666l2 306b2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 14994t2

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

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Quadratic twists for elliptic curve 14994t2

-4	-3	-7
119952en2	1666l2	306b2

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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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