Atkin-Lehner |
2+ 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258b |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-169791876820368 = -1 · 24 · 38 · 117 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 11- -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-106240,-13387568] |
[a1,a2,a3,a4,a6] |
j |
-74857992198625/95843088 |
j-invariant |
L |
1.0576784618951 |
L(r)(E,1)/r! |
Ω |
0.13220980837778 |
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 |
5478h1 |
Quadratic twists by: -11 |