Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1365c |
Isogeny class |
Conductor |
1365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6558605235 = -1 · 38 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-99,-3923] |
[a1,a2,a3,a4,a6] |
j |
-105756712489/6558605235 |
j-invariant |
L |
2.3489617488133 |
L(r)(E,1)/r! |
Ω |
0.58724043720332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840bi3 87360bb3 4095k4 6825d4 |
Quadratic twists by: -4 8 -3 5 |