Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800ba |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1377792 |
Modular degree for the optimal curve |
Δ |
1.9793204181299E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 5 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19525408,-32517768112] |
[a1,a2,a3,a4,a6] |
j |
1286305460227974664900/30926881533278943 |
j-invariant |
L |
3.7401509961114 |
L(r)(E,1)/r! |
Ω |
0.071925980694451 |
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 |
27600r1 110400by1 41400y1 13800g1 |
Quadratic twists by: -4 8 -3 5 |