Atkin-Lehner |
2- 3+ 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bb |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-53759157533280 = -1 · 25 · 39 · 5 · 234 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 0 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30512,-2073869] |
[a1,a2,a3,a4,a6] |
j |
-159599344286907/2731248160 |
j-invariant |
L |
3.6086244080472 |
L(r)(E,1)/r! |
Ω |
0.18043127855924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270b1 |
Quadratic twists by: -3 |