Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cg |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1804285100874240000 = 212 · 32 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304880,-4569600] |
[a1,a2,a3,a4,a6] |
j |
5168743489/2975625 |
j-invariant |
L |
1.7690132690928 |
L(r)(E,1)/r! |
Ω |
0.22112661605042 |
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 |
7935k2 5520p2 |
Quadratic twists by: -4 -23 |