Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896p |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2477445402298616832 = -1 · 210 · 3 · 738 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,211384,65774268] |
[a1,a2,a3,a4,a6] |
j |
6740636/15987 |
j-invariant |
L |
5.742163005255 |
L(r)(E,1)/r! |
Ω |
0.17944258589306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752e2 |
Quadratic twists by: 73 |