Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496dp |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1279993170362368 = -1 · 218 · 79 · 112 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10911,1668127] |
[a1,a2,a3,a4,a6] |
j |
4657463/41503 |
j-invariant |
L |
1.4173477603098 |
L(r)(E,1)/r! |
Ω |
0.3543369400769 |
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 |
34496v1 8624s1 4928bh1 |
Quadratic twists by: -4 8 -7 |