Atkin-Lehner |
2- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75088w |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6886273249648 = -1 · 24 · 137 · 193 |
Discriminant |
Eigenvalues |
2- 0 0 2 -2 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4085,161367] |
[a1,a2,a3,a4,a6] |
Generators |
[38:247:1] |
Generators of the group modulo torsion |
j |
-68694048000/62748517 |
j-invariant |
L |
5.9700438248117 |
L(r)(E,1)/r! |
Ω |
0.68294713868357 |
Real period |
R |
0.62439928002909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18772d1 75088n1 |
Quadratic twists by: -4 -19 |