Atkin-Lehner |
2+ 3- 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170f |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
761856 |
Modular degree for the optimal curve |
Δ |
12990133616578560 = 212 · 314 · 5 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60570,-1673420] |
[a1,a2,a3,a4,a6] |
Generators |
[18468:2500238:1] |
Generators of the group modulo torsion |
j |
33711101095957921/17819113328640 |
j-invariant |
L |
5.0068576318501 |
L(r)(E,1)/r! |
Ω |
0.32298312182338 |
Real period |
R |
7.750958630419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39390n1 |
Quadratic twists by: -3 |