Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438c |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
176899227648 = 218 · 3 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11+ 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1993,-28475] |
[a1,a2,a3,a4,a6] |
j |
658275956099/132907008 |
j-invariant |
L |
1.4491940564072 |
L(r)(E,1)/r! |
Ω |
0.72459702820361 |
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 |
75504cf1 28314bp1 9438t1 122694cd1 |
Quadratic twists by: -4 -3 -11 13 |