Atkin-Lehner |
2- 11- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728q |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
31674368 = 212 · 11 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11- -2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-837,-9043] |
[a1,a2,a3,a4,a6] |
j |
15851081728/7733 |
j-invariant |
L |
3.5501579170293 |
L(r)(E,1)/r! |
Ω |
0.88753947011205 |
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 |
7733b1 |
Quadratic twists by: -4 |