Atkin-Lehner |
2- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16120h |
Isogeny class |
Conductor |
16120 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-6.9093721854579E+22 |
Discriminant |
Eigenvalues |
2- -3 5- 0 2 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5530612,13601513716] |
[a1,a2,a3,a4,a6] |
Generators |
[35052:-6548750:1] |
Generators of the group modulo torsion |
j |
-73080804850407726160896/269897350994451171875 |
j-invariant |
L |
3.2348661001275 |
L(r)(E,1)/r! |
Ω |
0.095941532346805 |
Real period |
R |
0.06243899416115 |
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 |
32240h1 128960d1 80600c1 |
Quadratic twists by: -4 8 5 |