Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bj |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1519375123984608576 = -1 · 26 · 315 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,283554,11740756] |
[a1,a2,a3,a4,a6] |
j |
85707789929/51648192 |
j-invariant |
L |
1.3159057140875 |
L(r)(E,1)/r! |
Ω |
0.16448821426215 |
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 |
12054bc1 36162t1 |
Quadratic twists by: -3 -7 |