Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11858g |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104544 |
Modular degree for the optimal curve |
Δ |
236624766687232 = 211 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 11+ 3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150042,-22420460] |
[a1,a2,a3,a4,a6] |
j |
3233229419/2048 |
j-invariant |
L |
0.48516836406266 |
L(r)(E,1)/r! |
Ω |
0.24258418203133 |
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 |
94864br1 106722gd1 11858a1 11858bb1 |
Quadratic twists by: -4 -3 -7 -11 |