Atkin-Lehner |
3- 7+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106533h |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
218624 |
Modular degree for the optimal curve |
Δ |
11757256841673 = 313 · 72 · 19 · 892 |
Discriminant |
Eigenvalues |
1 3- 0 7+ -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5922,-58145] |
[a1,a2,a3,a4,a6] |
Generators |
[10126:354415:8] |
Generators of the group modulo torsion |
j |
31509582126625/16127924337 |
j-invariant |
L |
7.4600390241239 |
L(r)(E,1)/r! |
Ω |
0.57490645308184 |
Real period |
R |
6.488045984471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35511a1 |
Quadratic twists by: -3 |