Atkin-Lehner |
2+ 3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050y |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1524096 |
Modular degree for the optimal curve |
Δ |
-72572288256000000 = -1 · 214 · 37 · 56 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -5 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-302101,-65237152] |
[a1,a2,a3,a4,a6] |
Generators |
[691:7142:1] |
Generators of the group modulo torsion |
j |
-195145305494895937/4644626448384 |
j-invariant |
L |
5.1761968744078 |
L(r)(E,1)/r! |
Ω |
0.10167651056805 |
Real period |
R |
1.2121067435401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998867957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4602b1 |
Quadratic twists by: 5 |