Atkin-Lehner |
2+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9328b |
Isogeny class |
Conductor |
9328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-7910144 = -1 · 28 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ 1 3 4 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3609,82259] |
[a1,a2,a3,a4,a6] |
j |
-20312562936832/30899 |
j-invariant |
L |
3.9807953479734 |
L(r)(E,1)/r! |
Ω |
1.9903976739867 |
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 |
4664d1 37312bc1 83952h1 102608d1 |
Quadratic twists by: -4 8 -3 -11 |