Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360bb |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
68594841920 = 26 · 5 · 118 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1250,11020] |
[a1,a2,a3,a4,a6] |
j |
1906624/605 |
j-invariant |
L |
2.0298035100397 |
L(r)(E,1)/r! |
Ω |
1.0149017550198 |
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 |
19360ba1 38720cg2 96800u1 1760h1 |
Quadratic twists by: -4 8 5 -11 |