Atkin-Lehner |
2+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174c |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3139584 |
Modular degree for the optimal curve |
Δ |
7228865343817988 = 22 · 138 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ -2 2 2 0 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7801720,8386869714] |
[a1,a2,a3,a4,a6] |
Generators |
[160220:2695737:125] |
Generators of the group modulo torsion |
j |
10880142843287543617/1497648932 |
j-invariant |
L |
3.845792884543 |
L(r)(E,1)/r! |
Ω |
0.32645148069775 |
Real period |
R |
2.9451489028574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398h1 |
Quadratic twists by: 13 |