Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249q |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-56649206097 = -1 · 32 · 117 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- 4 0 11- 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-943016,-352552287] |
[a1,a2,a3,a4,a6] |
Generators |
[35631680:19005977069:125] |
Generators of the group modulo torsion |
j |
-52350979780066969/31977 |
j-invariant |
L |
7.4975517740142 |
L(r)(E,1)/r! |
Ω |
0.076601943995461 |
Real period |
R |
12.234597756278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659i1 |
Quadratic twists by: -11 |