Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440bs |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-7620843750000 = -1 · 24 · 3 · 59 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14786,709611] |
[a1,a2,a3,a4,a6] |
j |
-22345249423431424/476302734375 |
j-invariant |
L |
2.2238864295161 |
L(r)(E,1)/r! |
Ω |
0.74129568265939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28860e2 |
Quadratic twists by: -4 |