Atkin-Lehner |
2+ 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488c |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-7796219289728688 = -1 · 24 · 39 · 74 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7290,-4254903] |
[a1,a2,a3,a4,a6] |
j |
-136048896000/24755560921 |
j-invariant |
L |
2.9663571096268 |
L(r)(E,1)/r! |
Ω |
0.18539736904747 |
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 |
124488z1 |
Quadratic twists by: -3 |