Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975bi |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-958546875 = -1 · 3 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 11- 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-183,-1831] |
[a1,a2,a3,a4,a6] |
Generators |
[831:4049:27] |
Generators of the group modulo torsion |
j |
-360448/507 |
j-invariant |
L |
7.3982275227471 |
L(r)(E,1)/r! |
Ω |
0.61715020826078 |
Real period |
R |
2.9969314511776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719f1 117975bt1 |
Quadratic twists by: 5 -11 |