Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bx |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-1.9637962475334E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,52640,674233217] |
[a1,a2,a3,a4,a6] |
Generators |
[1045:42741:1] |
Generators of the group modulo torsion |
j |
3342032927351/40685186580480 |
j-invariant |
L |
8.8777611526134 |
L(r)(E,1)/r! |
Ω |
0.14105865614376 |
Real period |
R |
1.6562279821538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630a1 |
Quadratic twists by: 13 |