Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450eu |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
1.6481350995012E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 11- -3 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1965305,-1041822053] |
[a1,a2,a3,a4,a6] |
j |
101871/2 |
j-invariant |
L |
6.1277548192347 |
L(r)(E,1)/r! |
Ω |
0.1276615587887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450bb1 54450bd1 54450bc1 |
Quadratic twists by: -3 5 -11 |