Cremona's table of elliptic curves

15582 = 2 · 3 · 7² · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 53-	Signs for the Atkin-Lehner involutions
Class	15582r	Isogeny class
Conductor	15582	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	5.5517719977532E+20	Discriminant
Eigenvalues	2- 3+  0 7- -2  0  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2701518,-1280105205]	[a1,a2,a3,a4,a6]
j	54033731290516375/13757808559104	j-invariant
L	2.3993900942003	L(r)(E,1)/r!
Ω	0.11996950471002	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	124656dt2 46746i2 15582x2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 15582r2

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	-	-2	0	6	-4	0	-6	0	-2	-8	8	8	-	4	10	-10	8	6	2	0	-14	16

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Quadratic twists for elliptic curve 15582r2

-4	-3	-7
124656dt2	46746i2	15582x2

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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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