Atkin-Lehner |
3- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583bb |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
310919553 = 34 · 73 · 192 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1653,-25992] |
[a1,a2,a3,a4,a6] |
Generators |
[57:228:1] |
Generators of the group modulo torsion |
j |
1456346020375/906471 |
j-invariant |
L |
5.4453205468593 |
L(r)(E,1)/r! |
Ω |
0.74876614243353 |
Real period |
R |
1.818097881628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86583f1 |
Quadratic twists by: -7 |