Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48950x |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.0335657785455E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18113838,-29640367969] |
[a1,a2,a3,a4,a6] |
j |
42066378545079252394009/66148209826909100 |
j-invariant |
L |
10.539025192372 |
L(r)(E,1)/r! |
Ω |
0.073187674942685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790d2 |
Quadratic twists by: 5 |