Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400cp |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-15104000000 = -1 · 214 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 4 2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27633,1758863] |
[a1,a2,a3,a4,a6] |
Generators |
[2559:404:27] |
Generators of the group modulo torsion |
j |
-9115564624/59 |
j-invariant |
L |
9.1230213052063 |
L(r)(E,1)/r! |
Ω |
1.1112307224104 |
Real period |
R |
4.1049176892685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400e1 23600b1 3776v1 |
Quadratic twists by: -4 8 5 |