Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384d |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-11187044352 = -1 · 214 · 33 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1104,15008] |
[a1,a2,a3,a4,a6] |
j |
-336393216/25289 |
j-invariant |
L |
2.506673651092 |
L(r)(E,1)/r! |
Ω |
1.2533371565744 |
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 |
120384ch1 15048c1 120384i1 |
Quadratic twists by: -4 8 -3 |