Atkin-Lehner |
5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60775g |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
555074301925 = 52 · 112 · 133 · 174 |
Discriminant |
Eigenvalues |
0 3 5+ -2 11- 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2740,-41984] |
[a1,a2,a3,a4,a6] |
j |
90998742712320/22202972077 |
j-invariant |
L |
2.6864622945799 |
L(r)(E,1)/r! |
Ω |
0.67161557287412 |
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 |
60775t1 |
Quadratic twists by: 5 |