Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256d |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6716160 |
Modular degree for the optimal curve |
Δ |
-1.3592252967894E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73131795,240717453966] |
[a1,a2,a3,a4,a6] |
Generators |
[50802501601317822:2707855212794832:10290528627751] |
Generators of the group modulo torsion |
j |
-41370837750/13 |
j-invariant |
L |
8.5754164166182 |
L(r)(E,1)/r! |
Ω |
0.17978694843787 |
Real period |
R |
23.848829103358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113256be1 113256bb1 |
Quadratic twists by: -3 -11 |