Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720be |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-18545760000000000 = -1 · 214 · 37 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5304,6552180] |
[a1,a2,a3,a4,a6] |
j |
4028027503031/4527773437500 |
j-invariant |
L |
4.238346382713 |
L(r)(E,1)/r! |
Ω |
0.30273902733664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590e1 50880cs1 38160bz1 63600bs1 |
Quadratic twists by: -4 8 -3 5 |