Atkin-Lehner |
3- 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265f |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
157798811203830225 = 38 · 52 · 112 · 132 · 196 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8827538,-10092802008] |
[a1,a2,a3,a4,a6] |
j |
104355399483125445360601/216459274628025 |
j-invariant |
L |
0.35034767948138 |
L(r)(E,1)/r! |
Ω |
0.087587012573146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40755i2 |
Quadratic twists by: -3 |