Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400df |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-1208320000 = -1 · 215 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 3 5 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-1663] |
[a1,a2,a3,a4,a6] |
Generators |
[23:96:1] |
Generators of the group modulo torsion |
j |
-200/59 |
j-invariant |
L |
11.301028715995 |
L(r)(E,1)/r! |
Ω |
0.68781601794272 |
Real period |
R |
2.7383845902866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400dq1 47200r1 94400cf1 |
Quadratic twists by: -4 8 5 |