Atkin-Lehner |
2- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52624f |
Isogeny class |
Conductor |
52624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30823350272 = 216 · 112 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 0 11- 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31355,2137002] |
[a1,a2,a3,a4,a6] |
j |
832308211724625/7525232 |
j-invariant |
L |
2.1151836606715 |
L(r)(E,1)/r! |
Ω |
1.0575918299667 |
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 |
6578c2 |
Quadratic twists by: -4 |