Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470de |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
9.2071685709907E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5145068,4249381231] |
[a1,a2,a3,a4,a6] |
j |
158542456758867/9691136000 |
j-invariant |
L |
4.9481379372317 |
L(r)(E,1)/r! |
Ω |
0.15462930794271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470k1 8190f1 |
Quadratic twists by: -3 13 |