Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078j |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64764352456771968 = 27 · 34 · 76 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1258208,542559360] |
[a1,a2,a3,a4,a6] |
j |
45637459887836881/13417633152 |
j-invariant |
L |
1.3648382006523 |
L(r)(E,1)/r! |
Ω |
0.34120954640251 |
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 |
462e2 |
Quadratic twists by: 13 |