Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560fz |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
26973000000 = 26 · 36 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -1 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1542,-21926] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:5:1] |
Generators of the group modulo torsion |
j |
8690991616/578125 |
j-invariant |
L |
8.7122923434262 |
L(r)(E,1)/r! |
Ω |
0.76504997077242 |
Real period |
R |
1.8979789313193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560gc1 53280j1 11840bb1 |
Quadratic twists by: -4 8 -3 |