Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774m |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1551640061664 = 25 · 36 · 7 · 115 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-336204,-74949008] |
[a1,a2,a3,a4,a6] |
Generators |
[-114751:59009:343] |
Generators of the group modulo torsion |
j |
5765082664290763969/2128450016 |
j-invariant |
L |
5.5200613534853 |
L(r)(E,1)/r! |
Ω |
0.1982662464692 |
Real period |
R |
2.784165965333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086e1 |
Quadratic twists by: -3 |