Atkin-Lehner |
2- 3+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726q |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
3040944768 = 27 · 39 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 5 -7 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22574,-1299779] |
[a1,a2,a3,a4,a6] |
j |
64630861568091/154496 |
j-invariant |
L |
5.4528936243228 |
L(r)(E,1)/r! |
Ω |
0.38949240173735 |
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 |
21726e1 |
Quadratic twists by: -3 |