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	182c	Isogeny class
Conductor	182	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	308	Modular degree for the optimal curve
Δ	-21926008832 = -1 · 211 · 77 · 13	Discriminant
Eigenvalues	2+  1  4 7+ -1 13-  4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4609,120244]	[a1,a2,a3,a4,a6]
j	-10824513276632329/21926008832	j-invariant
L	1.2089756349361	L(r)(E,1)/r!
Ω	1.2089756349361	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1456l1 5824c1 1638r1 4550u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 182c1

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	4	+	-1	-	4	2	-7	-8	3	7	-7	-8	3	0	-6	-13	7	4	9	-13	-16	-6	11

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Quadratic twists for elliptic curve 182c1

-4	8	-3	5	-7	-11	13	17	-19	-23
1456l1	5824c1	1638r1	4550u1	1274d1	22022t1	2366o1	52598m1	65702p1	96278f1

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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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