Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ek |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
93120 |
Modular degree for the optimal curve |
Δ |
-1075000000 = -1 · 26 · 58 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- -2 3 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15083,-718037] |
[a1,a2,a3,a4,a6] |
j |
-15180136960/43 |
j-invariant |
L |
0.64619919524464 |
L(r)(E,1)/r! |
Ω |
0.21539972921407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800ea1 34400o1 68800cx1 |
Quadratic twists by: -4 8 5 |