Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400h |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
112800000000 = 211 · 3 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 0 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,912] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-100:1] [-14:122:1] |
Generators of the group modulo torsion |
j |
243890/141 |
j-invariant |
L |
8.7641907938456 |
L(r)(E,1)/r! |
Ω |
0.89321661664714 |
Real period |
R |
0.81766194135759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200o1 56400r1 |
Quadratic twists by: -4 5 |