Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
5840m |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
2990080 = 213 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3 5- 1 3 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67,194] |
[a1,a2,a3,a4,a6] |
j |
8120601/730 |
j-invariant |
L |
4.9392805392841 |
L(r)(E,1)/r! |
Ω |
2.4696402696421 |
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 |
730g1 23360v1 52560x1 29200s1 |
Quadratic twists by: -4 8 -3 5 |