Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050cj |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-2096786250 = -1 · 2 · 37 · 54 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,262,-1458] |
[a1,a2,a3,a4,a6] |
Generators |
[134:635:8] |
Generators of the group modulo torsion |
j |
3181588175/3354858 |
j-invariant |
L |
15.747920260241 |
L(r)(E,1)/r! |
Ω |
0.79538041728892 |
Real period |
R |
2.8284615047008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050e1 |
Quadratic twists by: 5 |