Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91936a |
Isogeny class |
Conductor |
91936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
5251568192 = 26 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-845,-8788] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1014:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
3.9639548455666 |
L(r)(E,1)/r! |
Ω |
0.88991143911998 |
Real period |
R |
2.2271625448323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91936l1 544d1 |
Quadratic twists by: -4 13 |