Atkin-Lehner |
2- 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296u |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-874868844874432512 = -1 · 218 · 3 · 134 · 794 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-335192,-87091728] |
[a1,a2,a3,a4,a6] |
j |
-1016824482248035033/213591026580672 |
j-invariant |
L |
3.5317073989649 |
L(r)(E,1)/r! |
Ω |
0.098102983331071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6162j4 |
Quadratic twists by: -4 |