Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114y |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-119501146829094912 = -1 · 224 · 32 · 77 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5097,16632153] |
[a1,a2,a3,a4,a6] |
j |
-124475734657/1015742988288 |
j-invariant |
L |
6.3696323024448 |
L(r)(E,1)/r! |
Ω |
0.2654013459352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72912bu1 27342j1 1302l1 |
Quadratic twists by: -4 -3 -7 |