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	182d	Isogeny class
Conductor	182	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	36	Modular degree for the optimal curve
Δ	-8918 = -1 · 2 · 73 · 13	Discriminant
Eigenvalues	2-  3 -4 7+  1 13+  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,3,-5]	[a1,a2,a3,a4,a6]
j	4019679/8918	j-invariant
L	2.1353664019473	L(r)(E,1)/r!
Ω	2.1353664019473	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	1456k1 5824g1 1638g1 4550k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 182d1

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
-	3	-4	+	1	+	0	-6	-7	-4	7	9	-3	4	7	0	-10	1	1	16	5	11	0	-6	-1

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Quadratic twists for elliptic curve 182d1

-4	8	-3	5	-7	-11	13	17	-19	-23
1456k1	5824g1	1638g1	4550k1	1274o1	22022k1	2366g1	52598bd1	65702g1	96278p1

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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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