Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312cb |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48660480 |
Modular degree for the optimal curve |
Δ |
-1.1126175679306E+26 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 3 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,69660575,455466804481] |
[a1,a2,a3,a4,a6] |
Generators |
[-2156016143197413937776975:336414900770129386240113116:718324333571101160051] |
Generators of the group modulo torsion |
j |
142608347930492655397991/424429919407109820672 |
j-invariant |
L |
3.401290514756 |
L(r)(E,1)/r! |
Ω |
0.041770216972514 |
Real period |
R |
40.714302693162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312bc1 29328ba1 |
Quadratic twists by: -4 8 |