Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462da |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-289324680305362416 = -1 · 24 · 39 · 114 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-234266,-50680119] |
[a1,a2,a3,a4,a6] |
j |
-404075127457/82223856 |
j-invariant |
L |
1.7172560031667 |
L(r)(E,1)/r! |
Ω |
0.10732850019848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11154d1 2574j1 |
Quadratic twists by: -3 13 |