Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bh |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-21065184000 = -1 · 28 · 37 · 53 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,-13228] |
[a1,a2,a3,a4,a6] |
j |
-504871936/112875 |
j-invariant |
L |
1.7005346511851 |
L(r)(E,1)/r! |
Ω |
0.42513371722907 |
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 |
36120h1 |
Quadratic twists by: -3 |