Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14520o |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-687577546695600 = -1 · 24 · 36 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59451,-5740110] |
[a1,a2,a3,a4,a6] |
j |
-615962624/18225 |
j-invariant |
L |
1.8312745581266 |
L(r)(E,1)/r! |
Ω |
0.15260621317722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29040a1 116160bg1 43560cc1 72600cf1 |
Quadratic twists by: -4 8 -3 5 |