Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68112v |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-7343222832 = -1 · 24 · 36 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234,4347] |
[a1,a2,a3,a4,a6] |
j |
-121485312/629563 |
j-invariant |
L |
2.2918996968583 |
L(r)(E,1)/r! |
Ω |
1.1459498478497 |
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 |
34056s1 7568a1 |
Quadratic twists by: -4 -3 |