Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cn |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
19267584 |
Modular degree for the optimal curve |
Δ |
1.0967175193884E+25 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63587061,112725572261] |
[a1,a2,a3,a4,a6] |
Generators |
[1486316:581341233:2197] |
Generators of the group modulo torsion |
j |
27767067707389964045910016/10710132025277343828125 |
j-invariant |
L |
7.8314052932002 |
L(r)(E,1)/r! |
Ω |
0.065535764783992 |
Real period |
R |
8.5355850228387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880i1 16720bg1 |
Quadratic twists by: -4 8 |