Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400dc |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
-755200000000 = -1 · 215 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -4 3 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3500,90000] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-200:1] |
Generators of the group modulo torsion |
j |
-370440/59 |
j-invariant |
L |
3.4167138817903 |
L(r)(E,1)/r! |
Ω |
0.86697106235232 |
Real period |
R |
0.32841483007186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400dk1 47200y1 94400bp1 |
Quadratic twists by: -4 8 5 |