Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23600d |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
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 |
[122:1350:1] |
Generators of the group modulo torsion |
j |
24334/59 |
j-invariant |
L |
7.8447035185963 |
L(r)(E,1)/r! |
Ω |
0.7654926349815 |
Real period |
R |
2.5619787703072 |
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 |
11800g1 94400cx1 944c1 |
Quadratic twists by: -4 8 5 |