Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31581a |
Isogeny class |
Conductor |
31581 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
322578994892913 = 39 · 117 · 292 |
Discriminant |
Eigenvalues |
1 3+ 4 -4 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-189690,-31739977] |
[a1,a2,a3,a4,a6] |
j |
21647657403/9251 |
j-invariant |
L |
4.1178638367765 |
L(r)(E,1)/r! |
Ω |
0.22877021315461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31581b2 2871a2 |
Quadratic twists by: -3 -11 |