Atkin-Lehner |
3- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
111549c |
Isogeny class |
Conductor |
111549 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
768129907603131 = 34 · 197 · 1032 |
Discriminant |
Eigenvalues |
1 3- 2 4 -2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29610,1435501] |
[a1,a2,a3,a4,a6] |
j |
61023377953/16327251 |
j-invariant |
L |
3.7720493466939 |
L(r)(E,1)/r! |
Ω |
0.4715062862286 |
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 |
5871a2 |
Quadratic twists by: -19 |