Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gf |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
394541798400 = 210 · 312 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6342312,6147796984] |
[a1,a2,a3,a4,a6] |
Generators |
[123859692:-163975:85184] |
Generators of the group modulo torsion |
j |
37795407757392787456/528525 |
j-invariant |
L |
8.4779265716702 |
L(r)(E,1)/r! |
Ω |
0.48301471975058 |
Real period |
R |
8.7760540491097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cw1 20880i1 27840dh1 |
Quadratic twists by: -4 8 -3 |