Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258x |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
2887656398352 = 24 · 39 · 113 · 832 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5728,-145936] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:116:1] |
Generators of the group modulo torsion |
j |
15615626874875/2169538992 |
j-invariant |
L |
11.749319191179 |
L(r)(E,1)/r! |
Ω |
0.55384364087263 |
Real period |
R |
0.58928179986645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60258k1 |
Quadratic twists by: -11 |