Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200cf |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
3739770000 = 24 · 39 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,6075] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
172800/19 |
j-invariant |
L |
5.2755117888021 |
L(r)(E,1)/r! |
Ω |
1.3553041730604 |
Real period |
R |
0.97312320984166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400bb1 34200n1 34200f1 |
Quadratic twists by: -4 -3 5 |