Atkin-Lehner |
3- 5+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205n |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.3596547037172E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119735885273,15947236063438206] |
[a1,a2,a3,a4,a6] |
j |
260416904567992089081451177008895561/18650956155242919921875 |
j-invariant |
L |
1.4074780933515 |
L(r)(E,1)/r! |
Ω |
0.039096585342219 |
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 |
14245d2 |
Quadratic twists by: -3 |