Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62436q |
Isogeny class |
Conductor |
62436 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
64126095936000912 = 24 · 314 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-275678,-54455799] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:1089:1] |
Generators of the group modulo torsion |
j |
81743931616000/2262344337 |
j-invariant |
L |
7.9832010133552 |
L(r)(E,1)/r! |
Ω |
0.20870509216787 |
Real period |
R |
0.22768516644307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676c1 |
Quadratic twists by: -11 |