Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11800g |
Isogeny class |
Conductor |
11800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1888000000 = -1 · 211 · 56 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,1888] |
[a1,a2,a3,a4,a6] |
Generators |
[3:50:1] |
Generators of the group modulo torsion |
j |
24334/59 |
j-invariant |
L |
2.9694219011202 |
L(r)(E,1)/r! |
Ω |
1.0333128382709 |
Real period |
R |
1.4368455472251 |
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 |
23600d1 94400i1 106200i1 472c1 |
Quadratic twists by: -4 8 -3 5 |