Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840u |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1178521321472000 = -1 · 217 · 53 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 11- 3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-652,1651696] |
[a1,a2,a3,a4,a6] |
Generators |
[232:-3740:1] [62:-1360:1] |
Generators of the group modulo torsion |
j |
-233860338/8991404125 |
j-invariant |
L |
6.7556695964836 |
L(r)(E,1)/r! |
Ω |
0.3887556760155 |
Real period |
R |
0.12067829511506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840bj1 7480a1 |
Quadratic twists by: -4 8 |