Atkin-Lehner |
2+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
105400f |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
-15826468750000 = -1 · 24 · 59 · 17 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 5 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364383,84540238] |
[a1,a2,a3,a4,a6] |
j |
-21402239350061056/63305875 |
j-invariant |
L |
2.4294307229957 |
L(r)(E,1)/r! |
Ω |
0.60735779391141 |
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 |
21080i1 |
Quadratic twists by: 5 |