Atkin-Lehner |
2+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024h |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
61964288 = 215 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ 0 2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80684,8821232] |
[a1,a2,a3,a4,a6] |
j |
1772703243405576/1891 |
j-invariant |
L |
1.2428057626474 |
L(r)(E,1)/r! |
Ω |
1.2428056389199 |
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 |
121024a4 60512g4 |
Quadratic twists by: -4 8 |