Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520bd |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10422225241655040 = 28 · 39 · 5 · 112 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-518100,-143281908] |
[a1,a2,a3,a4,a6] |
j |
60079368888914126416/40711817350215 |
j-invariant |
L |
3.203216339591 |
L(r)(E,1)/r! |
Ω |
0.17795645751498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28380f2 |
Quadratic twists by: -4 |