Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200bu |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
149590800 = 24 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,-75465] |
[a1,a2,a3,a4,a6] |
j |
540000000/19 |
j-invariant |
L |
2.5054862204747 |
L(r)(E,1)/r! |
Ω |
0.62637155511988 |
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 |
68400g1 34200c1 34200j1 |
Quadratic twists by: -4 -3 5 |