Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808t |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-144535552 = -1 · 212 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -4 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,-583] |
[a1,a2,a3,a4,a6] |
Generators |
[21171:592424:27] |
Generators of the group modulo torsion |
j |
-5088448/35287 |
j-invariant |
L |
8.7764764945213 |
L(r)(E,1)/r! |
Ω |
0.77018788703998 |
Real period |
R |
5.6976204392485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808x2 15904b1 |
Quadratic twists by: -4 8 |