Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bg |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4356491335863321600 = 210 · 38 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-459840,65578500] |
[a1,a2,a3,a4,a6] |
j |
5927735656804/2401490025 |
j-invariant |
L |
3.5656850892381 |
L(r)(E,1)/r! |
Ω |
0.22285531807738 |
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 |
14520h4 116160fb3 87120t3 2640m4 |
Quadratic twists by: -4 8 -3 -11 |