Atkin-Lehner |
2+ 3- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118h |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-186511248 = -1 · 24 · 35 · 72 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-158,992] |
[a1,a2,a3,a4,a6] |
Generators |
[0:31:1] [9:13:1] |
Generators of the group modulo torsion |
j |
-432252699481/186511248 |
j-invariant |
L |
6.6164261094956 |
L(r)(E,1)/r! |
Ω |
1.6817409049207 |
Real period |
R |
0.19671359869221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354cc1 |
Quadratic twists by: -3 |