Atkin-Lehner |
2- 3- 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950cr |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-3989107996875000 = -1 · 23 · 34 · 58 · 232 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26263,3450017] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1649:1] |
Generators of the group modulo torsion |
j |
-5128586820625/10212116472 |
j-invariant |
L |
13.976919974293 |
L(r)(E,1)/r! |
Ω |
0.39189383031655 |
Real period |
R |
0.49534816190608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950b1 |
Quadratic twists by: 5 |