Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360s |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
2.7694554379078E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4664571,-3792505254] |
[a1,a2,a3,a4,a6] |
j |
17384275110295552/428935546875 |
j-invariant |
L |
1.8519209715697 |
L(r)(E,1)/r! |
Ω |
0.10288447483108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680da1 129360cw1 |
Quadratic twists by: -4 -7 |