Atkin-Lehner |
2- 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760bh |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
60905761280000 = 212 · 54 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174443,-28040742] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:50:1] |
Generators of the group modulo torsion |
j |
143325809988740289/14869570625 |
j-invariant |
L |
6.157091829027 |
L(r)(E,1)/r! |
Ω |
0.23360862409947 |
Real period |
R |
1.6472775145732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735c1 |
Quadratic twists by: -4 |