Cremona's table of elliptic curves

15834 = 2 · 3 · 7 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13+ 29-	Signs for the Atkin-Lehner involutions
Class	15834s	Isogeny class
Conductor	15834	Conductor
∏ cp	600	Product of Tamagawa factors cp
Δ	3272968937100635136 = 210 · 310 · 7 · 13 · 296	Discriminant
Eigenvalues	2- 3-  2 7- -4 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-373512,-12012480]	[a1,a2,a3,a4,a6]
Generators	[-228:7944:1]	Generators of the group modulo torsion
j	5762851946879949436033/3272968937100635136	j-invariant
L	9.8007903681406	L(r)(E,1)/r!
Ω	0.20856236323983	Real period
R	0.31328088845607	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	126672z2 47502o2 110838bz2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 15834s2

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

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Quadratic twists for elliptic curve 15834s2

-4	-3	-7
126672z2	47502o2	110838bz2

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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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