Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400de |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1196062492590080000 = -1 · 239 · 54 · 592 |
Discriminant |
Eigenvalues |
2- 1 5- 4 3 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103233,-54179137] |
[a1,a2,a3,a4,a6] |
Generators |
[1003007823958:164555843344987:37259704] |
Generators of the group modulo torsion |
j |
-742614841825/7300186112 |
j-invariant |
L |
9.1843635263623 |
L(r)(E,1)/r! |
Ω |
0.11600182958538 |
Real period |
R |
19.793574720307 |
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 |
94400bk1 23600bg1 94400bw1 |
Quadratic twists by: -4 8 5 |