Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200bg |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
-248218750000 = -1 · 24 · 59 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- -4 6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1417,11912] |
[a1,a2,a3,a4,a6] |
Generators |
[1737:90161:729] |
Generators of the group modulo torsion |
j |
10061824/7943 |
j-invariant |
L |
9.9294647685749 |
L(r)(E,1)/r! |
Ω |
0.63440138881399 |
Real period |
R |
7.8258536124689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122200l1 |
Quadratic twists by: 5 |