Atkin-Lehner |
2- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bd |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.2287709020644E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-782963,315518642] |
[a1,a2,a3,a4,a6] |
Generators |
[-767:21560:1] [289:-10648:1] |
Generators of the group modulo torsion |
j |
-12959477208091719369/2999928960118090 |
j-invariant |
L |
10.261849376258 |
L(r)(E,1)/r! |
Ω |
0.21504929357091 |
Real period |
R |
1.4912059820613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010a4 |
Quadratic twists by: -4 |