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	182a	Isogeny class
Conductor	182	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	8953460393696 = 25 · 73 · 138	Discriminant
Eigenvalues	2-  0  2 7+  4 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-59134,5547693]	[a1,a2,a3,a4,a6]
j	22868021811807457713/8953460393696	j-invariant
L	1.797169773436	L(r)(E,1)/r!
Ω	0.71886790937438	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	1456i3 5824e4 1638e3 4550h4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 182a4

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	+	4	+	-6	0	8	-10	-8	6	-6	4	-8	6	8	10	4	-8	2	8	0	18	2

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Quadratic twists for elliptic curve 182a4

-4	8	-3	5	-7	-11	13	17	-19	-23
1456i3	5824e4	1638e3	4550h4	1274k3	22022i4	2366c4	52598z4	65702e4	96278m4

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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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