Atkin-Lehner |
3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715a |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-99663197445 = -1 · 310 · 5 · 72 · 832 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,887,-10922] |
[a1,a2,a3,a4,a6] |
j |
77042313010151/99663197445 |
j-invariant |
L |
1.1368371703343 |
L(r)(E,1)/r! |
Ω |
0.56841858516713 |
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 |
26145m2 43575q2 61005x2 |
Quadratic twists by: -3 5 -7 |