Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200x |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-3429742096000000 = -1 · 210 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- -3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33275,-3660250] |
[a1,a2,a3,a4,a6] |
Generators |
[2299:109868:1] |
Generators of the group modulo torsion |
j |
-1188 |
j-invariant |
L |
3.6374300067422 |
L(r)(E,1)/r! |
Ω |
0.17067246052768 |
Real period |
R |
3.5520571542865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400l1 968b1 24200f1 |
Quadratic twists by: -4 5 -11 |