Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39760m |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6383992832000 = 221 · 53 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 -7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75976,8084976] |
[a1,a2,a3,a4,a6] |
j |
11841282855686089/1558592000 |
j-invariant |
L |
1.4501970929283 |
L(r)(E,1)/r! |
Ω |
0.72509854646432 |
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 |
4970c2 |
Quadratic twists by: -4 |