Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624z |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
72343355392 = 227 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1248,-11404] |
[a1,a2,a3,a4,a6] |
j |
1071912625/360448 |
j-invariant |
L |
1.6499529750821 |
L(r)(E,1)/r! |
Ω |
0.82497648754104 |
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 |
1078j1 34496co1 77616fc1 8624n1 |
Quadratic twists by: -4 8 -3 -7 |