Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560gc |
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 |
[17:25:1] |
Generators of the group modulo torsion |
j |
8690991616/578125 |
j-invariant |
L |
7.4563565724779 |
L(r)(E,1)/r! |
Ω |
1.1648040716429 |
Real period |
R |
1.0668971066392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fz1 53280k1 11840bd1 |
Quadratic twists by: -4 8 -3 |