Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360k |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.6779533053298E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1744257916,26477999648416] |
[a1,a2,a3,a4,a6] |
j |
19486220601593009351102416/1221175284018082695225 |
j-invariant |
L |
0.1437670675551 |
L(r)(E,1)/r! |
Ω |
0.035941989008421 |
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 |
64680w2 18480bd2 |
Quadratic twists by: -4 -7 |