Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114z |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
46115456421888 = 212 · 32 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9311,-114087] |
[a1,a2,a3,a4,a6] |
j |
2212245127/1142784 |
j-invariant |
L |
6.1686105853173 |
L(r)(E,1)/r! |
Ω |
0.51405088210978 |
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 |
72912by1 27342l1 9114w1 |
Quadratic twists by: -4 -3 -7 |