Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560ed |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-828610560000 = -1 · 214 · 37 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,-43792] |
[a1,a2,a3,a4,a6] |
Generators |
[82:720:1] |
Generators of the group modulo torsion |
j |
21296/69375 |
j-invariant |
L |
6.2965315979838 |
L(r)(E,1)/r! |
Ω |
0.4135210020335 |
Real period |
R |
1.9033288388378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ba1 26640n1 35520bx1 |
Quadratic twists by: -4 8 -3 |