Atkin-Lehner |
3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005q |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2644509465 = 310 · 5 · 132 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2149682,1213673024] |
[a1,a2,a3,a4,a6] |
Generators |
[1839:58048:1] |
Generators of the group modulo torsion |
j |
1507018745159128565209/3627585 |
j-invariant |
L |
4.8167563187285 |
L(r)(E,1)/r! |
Ω |
0.66795111521161 |
Real period |
R |
3.6056203882546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10335f3 |
Quadratic twists by: -3 |