Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196a |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-1350103446625024 = -1 · 28 · 75 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 2 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168776,26746372] |
[a1,a2,a3,a4,a6] |
j |
-86044336128/218491 |
j-invariant |
L |
2.8978707805827 |
L(r)(E,1)/r! |
Ω |
0.48297841281727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
364a1 |
Quadratic twists by: 17 |