Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102g |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3098877658496 = -1 · 27 · 177 · 59 |
Discriminant |
Eigenvalues |
2+ -3 -2 -4 2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9013,342325] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-168:1] |
Generators of the group modulo torsion |
j |
-3354790473/128384 |
j-invariant |
L |
1.4659921596427 |
L(r)(E,1)/r! |
Ω |
0.79354219967234 |
Real period |
R |
0.46185072458912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006f1 |
Quadratic twists by: 17 |