Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850by |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1024603302734375000 = -1 · 23 · 512 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71688,49251992] |
[a1,a2,a3,a4,a6] |
j |
-22164361129/557375000 |
j-invariant |
L |
2.7859915837535 |
L(r)(E,1)/r! |
Ω |
0.23216596531285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370g2 4550o2 |
Quadratic twists by: 5 -7 |