Atkin-Lehner |
2+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6710d |
Isogeny class |
Conductor |
6710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
10148875000 = 23 · 56 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11+ -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4164,-103638] |
[a1,a2,a3,a4,a6] |
j |
7981893677157049/10148875000 |
j-invariant |
L |
1.188769142906 |
L(r)(E,1)/r! |
Ω |
0.594384571453 |
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 |
53680x2 60390bm2 33550s2 73810j2 |
Quadratic twists by: -4 -3 5 -11 |