Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360dj |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
11571944503726080 = 212 · 34 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -5 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209621,-36645885] |
[a1,a2,a3,a4,a6] |
j |
35651584/405 |
j-invariant |
L |
0.89309742972129 |
L(r)(E,1)/r! |
Ω |
0.22327435861385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4335a1 69360cu1 |
Quadratic twists by: -4 17 |