Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272bl |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-36427091904 = -1 · 26 · 314 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129,-9200] |
[a1,a2,a3,a4,a6] |
Generators |
[3504:39680:27] |
Generators of the group modulo torsion |
j |
-5088448/780759 |
j-invariant |
L |
7.374895062217 |
L(r)(E,1)/r! |
Ω |
0.51470897278154 |
Real period |
R |
7.1641407593524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272bg1 68544ew1 11424j1 |
Quadratic twists by: -4 8 -3 |