Atkin-Lehner |
2+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10384a |
Isogeny class |
Conductor |
10384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-114224 = -1 · 24 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 1 11+ -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1,-16] |
[a1,a2,a3,a4,a6] |
j |
2048/7139 |
j-invariant |
L |
3.0841762425575 |
L(r)(E,1)/r! |
Ω |
1.5420881212788 |
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 |
5192b1 41536r1 93456n1 114224d1 |
Quadratic twists by: -4 8 -3 -11 |