Atkin-Lehner |
3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122247i |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1808704826776989 = 313 · 176 · 47 |
Discriminant |
Eigenvalues |
2 3- -3 3 -5 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32079,-838895] |
[a1,a2,a3,a4,a6] |
j |
207474688/102789 |
j-invariant |
L |
3.0029697474178 |
L(r)(E,1)/r! |
Ω |
0.37537138728695 |
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 |
40749h1 423e1 |
Quadratic twists by: -3 17 |