Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645j |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
22792185 = 36 · 5 · 132 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5865,-171424] |
[a1,a2,a3,a4,a6] |
j |
30608488561041/31265 |
j-invariant |
L |
2.1821725959709 |
L(r)(E,1)/r! |
Ω |
0.54554314899273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2405d1 108225k1 |
Quadratic twists by: -3 5 |