Atkin-Lehner |
2- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472l |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
840832340983808 = 224 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- 2 2 2 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36112,-2230848] |
[a1,a2,a3,a4,a6] |
Generators |
[35526:1274014:27] |
Generators of the group modulo torsion |
j |
1271541138628753/205281333248 |
j-invariant |
L |
9.5949638606106 |
L(r)(E,1)/r! |
Ω |
0.35010922256626 |
Real period |
R |
4.5676050225511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3434b1 109888bb1 |
Quadratic twists by: -4 8 |