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	15834f	Isogeny class
Conductor	15834	Conductor
∏ cp	45	Product of Tamagawa factors cp
deg	72000	Modular degree for the optimal curve
Δ	1175635394073504 = 25 · 39 · 7 · 13 · 295	Discriminant
Eigenvalues	2+ 3-  1 7+  3 13+  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-31643,1401734]	[a1,a2,a3,a4,a6]
Generators	[-6:1264:1]	Generators of the group modulo torsion
j	3503780863004497321/1175635394073504	j-invariant
L	4.7136166281531	L(r)(E,1)/r!
Ω	0.44868600342378	Real period
R	0.23345287212413	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	126672bi1 47502be1 110838p1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 15834f1

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	+	3	+	0	1	-2	-	-6	0	2	-1	-7	1	-15	-2	15	3	10	6	-12	3	-12

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Quadratic twists for elliptic curve 15834f1

-4	-3	-7
126672bi1	47502be1	110838p1

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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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