Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200f |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
58433906250000 = 24 · 39 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16875,759375] |
[a1,a2,a3,a4,a6] |
Generators |
[99:243:1] |
Generators of the group modulo torsion |
j |
172800/19 |
j-invariant |
L |
6.4131922679845 |
L(r)(E,1)/r! |
Ω |
0.60611045223045 |
Real period |
R |
2.645224250953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400n1 34200bx1 34200cf1 |
Quadratic twists by: -4 -3 5 |