Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gi |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3287848320000 = -1 · 210 · 311 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6852,235096] |
[a1,a2,a3,a4,a6] |
Generators |
[77:405:1] |
Generators of the group modulo torsion |
j |
-47659369216/4404375 |
j-invariant |
L |
8.8755697546455 |
L(r)(E,1)/r! |
Ω |
0.77713559194335 |
Real period |
R |
0.71380479179495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520da1 20880bt1 27840di1 |
Quadratic twists by: -4 8 -3 |