Atkin-Lehner |
2+ 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40664b |
Isogeny class |
Conductor |
40664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4070303744 = 211 · 13 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 4 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424,-1236] |
[a1,a2,a3,a4,a6] |
j |
4125866834/1987453 |
j-invariant |
L |
4.4145080115752 |
L(r)(E,1)/r! |
Ω |
1.1036270028898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81328c2 |
Quadratic twists by: -4 |