Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088o |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10722870263808 = 215 · 34 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107617,-13623457] |
[a1,a2,a3,a4,a6] |
j |
4206495768216776/327236031 |
j-invariant |
L |
4.2174598181789 |
L(r)(E,1)/r! |
Ω |
0.26359127165229 |
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 |
113088a4 56544f4 |
Quadratic twists by: -4 8 |