Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11152m |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
11152 = 24 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 -2 3 4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14,-25] |
[a1,a2,a3,a4,a6] |
j |
20353792/697 |
j-invariant |
L |
2.4588106052631 |
L(r)(E,1)/r! |
Ω |
2.4588106052631 |
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 |
2788a1 44608ba1 100368bz1 |
Quadratic twists by: -4 8 -3 |