Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975y |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
572000 |
Modular degree for the optimal curve |
Δ |
-10930392966796875 = -1 · 35 · 59 · 116 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 11- 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10083,-5041807] |
[a1,a2,a3,a4,a6] |
Generators |
[39888701:1103641986:50653] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
4.1571527650619 |
L(r)(E,1)/r! |
Ω |
0.17900051533965 |
Real period |
R |
11.612125125477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975co1 975f1 |
Quadratic twists by: 5 -11 |