Atkin-Lehner |
3- 5+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265n |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-58643557896441375 = -1 · 310 · 53 · 114 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79492,7811606] |
[a1,a2,a3,a4,a6] |
j |
76202913690163079/80443837992375 |
j-invariant |
L |
1.8627231128341 |
L(r)(E,1)/r! |
Ω |
0.23284052854089 |
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 |
40755t3 |
Quadratic twists by: -3 |