Atkin-Lehner |
2- 37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
49136d |
Isogeny class |
Conductor |
49136 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
68881596416 = 214 · 373 · 83 |
Discriminant |
Eigenvalues |
2- 2 3 -2 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1624,-21264] |
[a1,a2,a3,a4,a6] |
j |
115714886617/16816796 |
j-invariant |
L |
4.5559105197064 |
L(r)(E,1)/r! |
Ω |
0.75931842005209 |
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 |
6142a1 |
Quadratic twists by: -4 |