Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bb |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-2.8671854911408E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77184,-257736704] |
[a1,a2,a3,a4,a6] |
j |
-592915705201/334302806016 |
j-invariant |
L |
0.7551791340204 |
L(r)(E,1)/r! |
Ω |
0.094397391750756 |
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 |
12054z1 738b1 |
Quadratic twists by: -3 -7 |