Atkin-Lehner |
5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85345c |
Isogeny class |
Conductor |
85345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2437538545 = 5 · 136 · 101 |
Discriminant |
Eigenvalues |
-1 0 5- 0 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1722,27824] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:188:1] [14:72:1] |
Generators of the group modulo torsion |
j |
116930169/505 |
j-invariant |
L |
7.322274142945 |
L(r)(E,1)/r! |
Ω |
1.4570905381091 |
Real period |
R |
10.050541063041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
505a1 |
Quadratic twists by: 13 |