Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550bn |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-5755520000 = -1 · 210 · 54 · 17 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -4 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1338,18631] |
[a1,a2,a3,a4,a6] |
Generators |
[65:427:1] |
Generators of the group modulo torsion |
j |
-423869650225/9208832 |
j-invariant |
L |
6.2126764069478 |
L(r)(E,1)/r! |
Ω |
1.3491916052904 |
Real period |
R |
0.076745664868094 |
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 |
19550b1 |
Quadratic twists by: 5 |