Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850l |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-34570312500 = -1 · 22 · 3 · 511 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 6 5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1776,-30302] |
[a1,a2,a3,a4,a6] |
j |
-39616946929/2212500 |
j-invariant |
L |
2.9323899646519 |
L(r)(E,1)/r! |
Ω |
0.36654874558149 |
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 |
70800bq1 26550cg1 1770e1 |
Quadratic twists by: -4 -3 5 |