Atkin-Lehner |
3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21285g |
Isogeny class |
Conductor |
21285 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
43102125 = 36 · 53 · 11 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 11- 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-93,139] |
[a1,a2,a3,a4,a6] |
j |
122023936/59125 |
j-invariant |
L |
1.8052173638116 |
L(r)(E,1)/r! |
Ω |
1.8052173638116 |
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 |
2365d1 106425o1 |
Quadratic twists by: -3 5 |