Cremona's table of elliptic curves

182 = 2 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 13-	Signs for the Atkin-Lehner involutions
Class	182b	Isogeny class
Conductor	182	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-182 = -1 · 2 · 7 · 13	Discriminant
Eigenvalues	2-  1  0 7- -3 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-15663,-755809]	[a1,a2,a3,a4,a6]
j	-424962187484640625/182	j-invariant
L	1.9204065875591	L(r)(E,1)/r!
Ω	0.21337850972879	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1456g3 5824i3 1638j3 4550b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 182b3

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	0	-	-3	-	0	2	-3	0	5	-7	3	8	-3	-12	6	-1	5	12	11	-1	12	-18	17

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Quadratic twists for elliptic curve 182b3

-4	8	-3	5	-7	-11	13	17	-19	-23
1456g3	5824i3	1638j3	4550b3	1274i3	22022b3	2366a3	52598t3	65702j3	96278i3

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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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