Atkin-Lehner |
2- 3+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774r |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-45956290021308 = -1 · 22 · 33 · 178 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6641,253745] |
[a1,a2,a3,a4,a6] |
j |
1341919727/1903932 |
j-invariant |
L |
0.86391989711315 |
L(r)(E,1)/r! |
Ω |
0.43195988127603 |
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 |
6222d1 |
Quadratic twists by: 17 |