Atkin-Lehner |
2+ 5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350s |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
282408645609186250 = 2 · 54 · 72 · 115 · 315 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-259626,-44054502] |
[a1,a2,a3,a4,a6] |
Generators |
[-8826:70042:27] [-258:2531:1] |
Generators of the group modulo torsion |
j |
3096605188415466025/451853832974698 |
j-invariant |
L |
9.9284221736394 |
L(r)(E,1)/r! |
Ω |
0.21356241749733 |
Real period |
R |
0.30993037962937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350bv2 |
Quadratic twists by: 5 |