Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568j |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4978381824 = -1 · 210 · 39 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13251,587122] |
[a1,a2,a3,a4,a6] |
j |
-344700718852/6669 |
j-invariant |
L |
5.0312727442404 |
L(r)(E,1)/r! |
Ω |
1.2578181860607 |
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 |
17784g1 11856k1 |
Quadratic twists by: -4 -3 |