Atkin-Lehner |
2- 3+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814ba |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2079612970957200042 = 2 · 33 · 75 · 138 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-443216,90025497] |
[a1,a2,a3,a4,a6] |
j |
356619690824234206851/77022702628044446 |
j-invariant |
L |
1.9737641650373 |
L(r)(E,1)/r! |
Ω |
0.24672052100911 |
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 |
86814c2 |
Quadratic twists by: -3 |