Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20600g |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-699345280000 = -1 · 210 · 54 · 1033 |
Discriminant |
Eigenvalues |
2+ 0 5- 5 -2 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,-41450] |
[a1,a2,a3,a4,a6] |
j |
-115762500/1092727 |
j-invariant |
L |
3.0654714099985 |
L(r)(E,1)/r! |
Ω |
0.38318392624982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200t1 20600r1 |
Quadratic twists by: -4 5 |