Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576q |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1930604544 = -1 · 212 · 34 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217,-2375] |
[a1,a2,a3,a4,a6] |
j |
-277167808/471339 |
j-invariant |
L |
1.1752846458958 |
L(r)(E,1)/r! |
Ω |
0.58764232346198 |
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 |
48576bf2 24288n1 |
Quadratic twists by: -4 8 |