Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560gn |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-46609344000000 = -1 · 212 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8988,17984] |
[a1,a2,a3,a4,a6] |
Generators |
[28:540:1] |
Generators of the group modulo torsion |
j |
26892143936/15609375 |
j-invariant |
L |
6.8892772201778 |
L(r)(E,1)/r! |
Ω |
0.3835112967013 |
Real period |
R |
0.74848699629316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999649876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560gm1 53280bo1 35520bw1 |
Quadratic twists by: -4 8 -3 |