Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190t |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
122523394500 = 22 · 38 · 53 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1277,-5559] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:69:1] |
Generators of the group modulo torsion |
j |
104953669813/55768500 |
j-invariant |
L |
4.5526799650791 |
L(r)(E,1)/r! |
Ω |
0.84825702628655 |
Real period |
R |
0.89451660369785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190bw1 |
Quadratic twists by: 13 |