Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288g |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
27567588251341008 = 24 · 38 · 135 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1106310,-447810509] |
[a1,a2,a3,a4,a6] |
Generators |
[5164490:362747457:1000] |
Generators of the group modulo torsion |
j |
12838276213282048000/2363476358997 |
j-invariant |
L |
5.3540057540678 |
L(r)(E,1)/r! |
Ω |
0.14720926450042 |
Real period |
R |
9.0925081589209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144j1 18096k1 |
Quadratic twists by: -4 -3 |