Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71656b |
Isogeny class |
Conductor |
71656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
102984124082668816 = 24 · 138 · 534 |
Discriminant |
Eigenvalues |
2+ 1 2 3 -3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-484072,-128870975] |
[a1,a2,a3,a4,a6] |
Generators |
[-44348019144:106036533695:111284641] |
Generators of the group modulo torsion |
j |
961142311168/7890481 |
j-invariant |
L |
9.8418605669703 |
L(r)(E,1)/r! |
Ω |
0.18108689811741 |
Real period |
R |
13.587206845563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71656f1 |
Quadratic twists by: 13 |