Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650g |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4596433209000 = 23 · 314 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-204785,-35754675] |
[a1,a2,a3,a4,a6] |
j |
7598212583918732621/36771465672 |
j-invariant |
L |
0.44885375702662 |
L(r)(E,1)/r! |
Ω |
0.22442687851331 |
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 |
37200dy2 13950ct2 4650bs2 |
Quadratic twists by: -4 -3 5 |