Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
19920g |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3.4010348921487E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1690264,267501936] |
[a1,a2,a3,a4,a6] |
Generators |
[1104636:1025694080:59319] |
Generators of the group modulo torsion |
j |
130384850244802923671/83033078421600000 |
j-invariant |
L |
3.6065473519173 |
L(r)(E,1)/r! |
Ω |
0.10631293008559 |
Real period |
R |
8.4809706331437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490e1 79680bu1 59760bh1 99600cp1 |
Quadratic twists by: -4 8 -3 5 |