Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128n |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-419872402224 = -1 · 24 · 312 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5394,155635] |
[a1,a2,a3,a4,a6] |
Generators |
[2660:3645:64] |
Generators of the group modulo torsion |
j |
-1488020887552/35997291 |
j-invariant |
L |
6.7859538460889 |
L(r)(E,1)/r! |
Ω |
0.94266658285234 |
Real period |
R |
3.5993393583815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999692099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064p1 35376h1 |
Quadratic twists by: -4 -3 |