Atkin-Lehner |
2- 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114708l |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
2369664 |
Modular degree for the optimal curve |
Δ |
5807747512122790608 = 24 · 311 · 1110 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1073673,-412570908] |
[a1,a2,a3,a4,a6] |
Generators |
[9738:74007:8] |
Generators of the group modulo torsion |
j |
329832448000/13994613 |
j-invariant |
L |
10.617287291997 |
L(r)(E,1)/r! |
Ω |
0.1487024348456 |
Real period |
R |
6.4908683910205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708j1 |
Quadratic twists by: -11 |