Atkin-Lehner |
2- 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bf |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
32440320 |
Modular degree for the optimal curve |
Δ |
1.3706731064201E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295749836,1956715479533] |
[a1,a2,a3,a4,a6] |
j |
1213285711898931786179/581299200000000 |
j-invariant |
L |
2.6980076843465 |
L(r)(E,1)/r! |
Ω |
0.084312732645919 |
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 |
105270c1 |
Quadratic twists by: -11 |