Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726l |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-5744006784 = -1 · 27 · 37 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 3 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153,3757] |
[a1,a2,a3,a4,a6] |
Generators |
[17:68:1] |
Generators of the group modulo torsion |
j |
-545338513/7879296 |
j-invariant |
L |
5.1203887247917 |
L(r)(E,1)/r! |
Ω |
1.1424748812646 |
Real period |
R |
0.56022990185178 |
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 |
7242h1 |
Quadratic twists by: -3 |