Atkin-Lehner |
2- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
105196d |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
583848 |
Modular degree for the optimal curve |
Δ |
-1716482778962224 = -1 · 24 · 7 · 133 · 178 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 4 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6551,-1985034] |
[a1,a2,a3,a4,a6] |
Generators |
[53126200793490:627372086197656:311803677541] |
Generators of the group modulo torsion |
j |
278528/15379 |
j-invariant |
L |
13.156888096235 |
L(r)(E,1)/r! |
Ω |
0.22570292585096 |
Real period |
R |
19.430981449959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105196k1 |
Quadratic twists by: 17 |