Atkin-Lehner |
2- 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616m |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-863211106336768 = -1 · 218 · 7 · 234 · 412 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18648,1713940] |
[a1,a2,a3,a4,a6] |
j |
-175099068033625/210744899008 |
j-invariant |
L |
1.8098330292925 |
L(r)(E,1)/r! |
Ω |
0.45245831752109 |
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 |
13202g1 |
Quadratic twists by: -4 |