Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bh |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
1.0416223542477E+20 |
Discriminant |
Eigenvalues |
2- 1 0 2 11- 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1288713,-275717287] |
[a1,a2,a3,a4,a6] |
Generators |
[-476:15401:1] |
Generators of the group modulo torsion |
j |
1890625/832 |
j-invariant |
L |
11.462396206169 |
L(r)(E,1)/r! |
Ω |
0.14755508695354 |
Real period |
R |
6.473512391666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898h1 3146b1 |
Quadratic twists by: -11 13 |