Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11552o |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60800 |
Modular degree for the optimal curve |
Δ |
-1321728810102784 = -1 · 212 · 199 |
Discriminant |
Eigenvalues |
2- 2 3 3 -1 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18291,1461221] |
[a1,a2,a3,a4,a6] |
j |
512 |
j-invariant |
L |
5.3257359187393 |
L(r)(E,1)/r! |
Ω |
0.33285849492121 |
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 |
11552p1 23104bg1 103968q1 11552c1 |
Quadratic twists by: -4 8 -3 -19 |