Atkin-Lehner |
2- 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108936l |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
738816 |
Modular degree for the optimal curve |
Δ |
-5374526464832256 = -1 · 28 · 39 · 17 · 894 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 1 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16956,-3423276] |
[a1,a2,a3,a4,a6] |
Generators |
[5676:427734:1] |
Generators of the group modulo torsion |
j |
106994801664/1066618097 |
j-invariant |
L |
3.1016203377977 |
L(r)(E,1)/r! |
Ω |
0.21184731530645 |
Real period |
R |
1.83010364445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108936b1 |
Quadratic twists by: -3 |