Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600n |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2912547456000 = 210 · 36 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16448,-802308] |
[a1,a2,a3,a4,a6] |
j |
3844850327636/22754277 |
j-invariant |
L |
1.6868787398019 |
L(r)(E,1)/r! |
Ω |
0.42171968491366 |
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 |
109200cl1 54600cs1 |
Quadratic twists by: -4 5 |