Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400j |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-121794818750000 = -1 · 24 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6050,-499125] |
[a1,a2,a3,a4,a6] |
j |
55296/275 |
j-invariant |
L |
1.1846543923958 |
L(r)(E,1)/r! |
Ω |
0.29616359811193 |
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 |
24200w1 9680f1 4400a1 |
Quadratic twists by: -4 5 -11 |