Cremona's table of elliptic curves

14805 = 3² · 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	3- 5- 7+ 47+	Signs for the Atkin-Lehner involutions
Class	14805j	Isogeny class
Conductor	14805	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	456727567393125 = 39 · 54 · 75 · 472	Discriminant
Eigenvalues	-1 3- 5- 7+  2  4  2  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-21781652,39133146026]	[a1,a2,a3,a4,a6]
Generators	[2676:349:1]	Generators of the group modulo torsion
j	1567720403296973423899129/626512438125	j-invariant
L	3.4170404710701	L(r)(E,1)/r!
Ω	0.31752372189838	Real period
R	1.3451910185799	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	4935c2 74025r2 103635w2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 14805j2

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	4	2	2	-6	0	2	-6	6	-8	+	2	4	-14	8	12	-12	-16	4	-10	-18

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Quadratic twists for elliptic curve 14805j2

-3	5	-7
4935c2	74025r2	103635w2

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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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