Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405m |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1288916319073295025 = 314 · 52 · 476 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2684349,-1691251232] |
[a1,a2,a3,a4,a6] |
j |
272223782641/164025 |
j-invariant |
L |
0.94361642557418 |
L(r)(E,1)/r! |
Ω |
0.1179520542752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33135a6 45a5 |
Quadratic twists by: -3 -47 |