Atkin-Lehner |
2- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
33200bj |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-2656000000000 = -1 · 214 · 59 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- -2 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2125,-68750] |
[a1,a2,a3,a4,a6] |
j |
132651/332 |
j-invariant |
L |
0.83564549599365 |
L(r)(E,1)/r! |
Ω |
0.41782274799607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4150e1 33200bg1 |
Quadratic twists by: -4 5 |