Atkin-Lehner |
3+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249f |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5927040 |
Modular degree for the optimal curve |
Δ |
-8.8036630956078E+21 |
Discriminant |
Eigenvalues |
0 3+ -2 3 11- 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4114081,3170815790] |
[a1,a2,a3,a4,a6] |
Generators |
[3209129731292324:280973357955627826:2992832108531] |
Generators of the group modulo torsion |
j |
4346963661717536768/4969438306447131 |
j-invariant |
L |
4.2996844321872 |
L(r)(E,1)/r! |
Ω |
0.086794159216268 |
Real period |
R |
24.769434205092 |
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 |
10659a1 |
Quadratic twists by: -11 |