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	9	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	-46592 = -1 · 29 · 7 · 13	Discriminant
Eigenvalues	2-  1  0 7- -3 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,7,-7]	[a1,a2,a3,a4,a6]
j	37595375/46592	j-invariant
L	1.9204065875591	L(r)(E,1)/r!
Ω	1.9204065875591	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1456g1 5824i1 1638j1 4550b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 182b1

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 182b1

-4	8	-3	5	-7	-11	13	17	-19	-23
1456g1	5824i1	1638j1	4550b1	1274i1	22022b1	2366a1	52598t1	65702j1	96278i1

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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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