Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11552s |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-3511808 = -1 · 29 · 193 |
Discriminant |
Eigenvalues |
2- -3 -2 3 -6 5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3211,-70034] |
[a1,a2,a3,a4,a6] |
j |
-1042590744 |
j-invariant |
L |
1.2684385980613 |
L(r)(E,1)/r! |
Ω |
0.31710964951533 |
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 |
11552q1 23104bi1 103968j1 11552e1 |
Quadratic twists by: -4 8 -3 -19 |