Atkin-Lehner |
2- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9130h |
Isogeny class |
Conductor |
9130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-183385180 = -1 · 22 · 5 · 113 · 832 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,83,561] |
[a1,a2,a3,a4,a6] |
j |
63952011999/183385180 |
j-invariant |
L |
3.7946998659899 |
L(r)(E,1)/r! |
Ω |
1.26489995533 |
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 |
73040n1 82170j1 45650f1 100430l1 |
Quadratic twists by: -4 -3 5 -11 |