Atkin-Lehner |
2+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31046b |
Isogeny class |
Conductor |
31046 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2774926665797824 = -1 · 26 · 193 · 436 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24986,2961652] |
[a1,a2,a3,a4,a6] |
j |
-251514422241867/404567235136 |
j-invariant |
L |
2.4399556715781 |
L(r)(E,1)/r! |
Ω |
0.40665927859674 |
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 |
31046j2 |
Quadratic twists by: -19 |