Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696h |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
11232346112 = 223 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 2 -2 -3 3 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6529,205185] |
[a1,a2,a3,a4,a6] |
Generators |
[48:9:1] |
Generators of the group modulo torsion |
j |
117433042273/42848 |
j-invariant |
L |
6.7355673946466 |
L(r)(E,1)/r! |
Ω |
1.2530293145094 |
Real period |
R |
2.6877134155317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696by1 2678n1 |
Quadratic twists by: -4 8 |