Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320z |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
-45924846451045120 = -1 · 28 · 5 · 137 · 833 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -6 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18808,-10262644] |
[a1,a2,a3,a4,a6] |
Generators |
[610:15106:1] |
Generators of the group modulo torsion |
j |
2874164329488384/179393931449395 |
j-invariant |
L |
5.6843711891929 |
L(r)(E,1)/r! |
Ω |
0.17134439865923 |
Real period |
R |
0.78988383852951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21580b1 |
Quadratic twists by: -4 |