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	15834j	Isogeny class
Conductor	15834	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	54561953588688 = 24 · 32 · 72 · 13 · 296	Discriminant
Eigenvalues	2- 3+  0 7+  4 13+ -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-52833,-4682673]	[a1,a2,a3,a4,a6]
j	16309477249391796625/54561953588688	j-invariant
L	2.5197098852323	L(r)(E,1)/r!
Ω	0.31496373565404	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	126672by2 47502i2 110838cl2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 15834j2

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

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Quadratic twists for elliptic curve 15834j2

-4	-3	-7
126672by2	47502i2	110838cl2

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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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