Atkin-Lehner |
2+ 3+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726b |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-233440025706 = -1 · 2 · 39 · 174 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -3 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,714,21878] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3778:1] |
Generators of the group modulo torsion |
j |
2043548109/11859982 |
j-invariant |
L |
3.1665230915626 |
L(r)(E,1)/r! |
Ω |
0.71656517072181 |
Real period |
R |
1.1047575366986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21726t1 |
Quadratic twists by: -3 |