Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655bi |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3913728 |
Modular degree for the optimal curve |
Δ |
-4.3588352295106E+22 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11- 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6775548,-7403860890] |
[a1,a2,a3,a4,a6] |
Generators |
[29406:961174:27] |
Generators of the group modulo torsion |
j |
4449787707392/5638359375 |
j-invariant |
L |
6.2430727428583 |
L(r)(E,1)/r! |
Ω |
0.060978379426182 |
Real period |
R |
3.656490806131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885p1 83655l1 |
Quadratic twists by: -3 13 |