Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840b |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.0949260886129E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1212036,-101211264] |
[a1,a2,a3,a4,a6] |
j |
769184747004659888464/427705503364400625 |
j-invariant |
L |
0.92582550775556 |
L(r)(E,1)/r! |
Ω |
0.1543042512926 |
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 |
10920r2 87360gp2 65520bg2 109200bu2 |
Quadratic twists by: -4 8 -3 5 |