Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258y |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-2801565967536072 = -1 · 23 · 39 · 118 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10953,-2585439] |
[a1,a2,a3,a4,a6] |
j |
-677928625/13069512 |
j-invariant |
L |
7.0308085732046 |
L(r)(E,1)/r! |
Ω |
0.19530023813753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60258o1 |
Quadratic twists by: -11 |