Atkin-Lehner |
3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31713h |
Isogeny class |
Conductor |
31713 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28792748532970719 = 32 · 112 · 319 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138404,-18070431] |
[a1,a2,a3,a4,a6] |
j |
11089567/1089 |
j-invariant |
L |
0.4981694029799 |
L(r)(E,1)/r! |
Ω |
0.24908470149582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95139e2 31713b2 |
Quadratic twists by: -3 -31 |