Atkin-Lehner |
2- 3- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986z |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
8329279395796265088 = 27 · 36 · 72 · 132 · 476 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1174604,470194895] |
[a1,a2,a3,a4,a6] |
j |
245850028828595840377/11425623313849472 |
j-invariant |
L |
6.4429086450924 |
L(r)(E,1)/r! |
Ω |
0.23010388140398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554d2 |
Quadratic twists by: -3 |