Atkin-Lehner |
2- 3- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49068c |
Isogeny class |
Conductor |
49068 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-663969156711106608 = -1 · 24 · 316 · 295 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -3 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162012,-46550635] |
[a1,a2,a3,a4,a6] |
j |
-40319742615568384/56924653353147 |
j-invariant |
L |
1.1317786260374 |
L(r)(E,1)/r! |
Ω |
0.11317786254107 |
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 |
16356b1 |
Quadratic twists by: -3 |