Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114d |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1482900145566336 = -1 · 27 · 33 · 712 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3601,-1849371] |
[a1,a2,a3,a4,a6] |
j |
43874924183/12604443264 |
j-invariant |
L |
0.4490227632851 |
L(r)(E,1)/r! |
Ω |
0.22451138164255 |
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 |
72912dg1 27342bi1 1302i1 |
Quadratic twists by: -4 -3 -7 |