Atkin-Lehner |
2+ 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674c |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14163895656011556 = 22 · 314 · 72 · 134 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83601,-7312343] |
[a1,a2,a3,a4,a6] |
j |
88640770582553617/19429212148164 |
j-invariant |
L |
1.1405974928127 |
L(r)(E,1)/r! |
Ω |
0.28514937319695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12558k2 |
Quadratic twists by: -3 |