Atkin-Lehner |
2- 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726x |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-827136976896 = -1 · 211 · 39 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -5 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1156,40767] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:117:1] [-13:159:1] |
Generators of the group modulo torsion |
j |
234542659463/1134618624 |
j-invariant |
L |
9.0050283372939 |
L(r)(E,1)/r! |
Ω |
0.6407988160273 |
Real period |
R |
0.15969109946811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242f1 |
Quadratic twists by: -3 |