Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560dn |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-1.1449586779473E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 -1 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35903628,-84390016752] |
[a1,a2,a3,a4,a6] |
j |
-991990479802737267/22190066240000 |
j-invariant |
L |
2.2173927621571 |
L(r)(E,1)/r! |
Ω |
0.030797124398177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560c1 26640ba1 106560dw1 |
Quadratic twists by: -4 8 -3 |