Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320z |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
129254400 = 210 · 33 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,414] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:32:1] |
Generators of the group modulo torsion |
j |
12706092/4675 |
j-invariant |
L |
5.7684186520453 |
L(r)(E,1)/r! |
Ω |
1.6938282576577 |
Real period |
R |
1.7027755400387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67320b1 |
Quadratic twists by: -3 |