Atkin-Lehner |
2- 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998p |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
4398595258001472 = 26 · 312 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-235408,-43865920] |
[a1,a2,a3,a4,a6] |
j |
814388006841625/2482892352 |
j-invariant |
L |
7.8041631377264 |
L(r)(E,1)/r! |
Ω |
0.2167823094272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438d1 |
Quadratic twists by: -11 |