Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bm |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
465841497600 = 29 · 39 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7587,252234] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1000:1] |
Generators of the group modulo torsion |
j |
4792616856/46225 |
j-invariant |
L |
7.3369479965855 |
L(r)(E,1)/r! |
Ω |
0.94022179821965 |
Real period |
R |
3.9017112825668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920j2 123840h2 61920a2 |
Quadratic twists by: -4 8 -3 |