Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400eq |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-5412096000000 = -1 · 214 · 36 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 -3 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4275,155250] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
1.4112092857084 |
L(r)(E,1)/r! |
Ω |
0.70560485423188 |
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 |
13050m1 11600w1 4176bg1 |
Quadratic twists by: -4 -3 5 |