Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ix |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
38365367906250000 = 24 · 32 · 59 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84763,1182017] |
[a1,a2,a3,a4,a6] |
Generators |
[406:5605:1] |
Generators of the group modulo torsion |
j |
19465109/11088 |
j-invariant |
L |
12.84598875483 |
L(r)(E,1)/r! |
Ω |
0.31278203985932 |
Real period |
R |
2.5668810476556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050cd1 11550bh1 |
Quadratic twists by: 5 -11 |