Atkin-Lehner |
2+ 7+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116522a |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2951427581516288 = -1 · 29 · 78 · 293 · 41 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-347681,-78979820] |
[a1,a2,a3,a4,a6] |
j |
-806269944279625/511973888 |
j-invariant |
L |
2.6541260007143 |
L(r)(E,1)/r! |
Ω |
0.09830099853625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116522d2 |
Quadratic twists by: -7 |