Atkin-Lehner |
2+ 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190p |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-1.9135232383088E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -1 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8588018,-18680853836] |
[a1,a2,a3,a4,a6] |
Generators |
[75441:4410202:27] |
Generators of the group modulo torsion |
j |
414491631408272360789951/1132262271188620848000 |
j-invariant |
L |
4.6813380790095 |
L(r)(E,1)/r! |
Ω |
0.051831493611803 |
Real period |
R |
7.5265341431955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190bu1 |
Quadratic twists by: 13 |