Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848t |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-89731805184 = -1 · 212 · 310 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,744,-12112] |
[a1,a2,a3,a4,a6] |
j |
15252992/30051 |
j-invariant |
L |
4.4816124444354 |
L(r)(E,1)/r! |
Ω |
0.56020156273897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848l1 35616r1 |
Quadratic twists by: -4 -3 |