Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280br |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-3.9808230085728E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-869896,-1009749196] |
[a1,a2,a3,a4,a6] |
Generators |
[1772:54918:1] |
Generators of the group modulo torsion |
j |
-17773226067995349769/97188061732734375 |
j-invariant |
L |
8.0013741087396 |
L(r)(E,1)/r! |
Ω |
0.070251550660417 |
Real period |
R |
3.1637791596535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705a1 |
Quadratic twists by: -4 |