Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bg |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-17102562048 = -1 · 28 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- 13- -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4356,110836] |
[a1,a2,a3,a4,a6] |
Generators |
[44:66:1] [-55:429:1] |
Generators of the group modulo torsion |
j |
-90326016/169 |
j-invariant |
L |
10.904164122135 |
L(r)(E,1)/r! |
Ω |
1.2335532484454 |
Real period |
R |
0.36831824833905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113256f1 113256c1 |
Quadratic twists by: -3 -11 |