Atkin-Lehner |
2- 3- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688u |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
19712690872123392 = 224 · 37 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1349408,602853876] |
[a1,a2,a3,a4,a6] |
Generators |
[154:19968:1] |
Generators of the group modulo torsion |
j |
66342819962001390625/4812668669952 |
j-invariant |
L |
9.9459749376716 |
L(r)(E,1)/r! |
Ω |
0.36649005304663 |
Real period |
R |
0.96923064747643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14586j1 |
Quadratic twists by: -4 |