Atkin-Lehner |
3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117f |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
-3329753427 = -1 · 39 · 7 · 11 · 133 |
Discriminant |
Eigenvalues |
2 3+ 2 7+ 11- 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,351,-1141] |
[a1,a2,a3,a4,a6] |
Generators |
[962:10669:8] |
Generators of the group modulo torsion |
j |
110592/77 |
j-invariant |
L |
15.859308011141 |
L(r)(E,1)/r! |
Ω |
0.7980847803283 |
Real period |
R |
4.9679271016023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117c1 117117h1 |
Quadratic twists by: -3 13 |