Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bz |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
53856 |
Modular degree for the optimal curve |
Δ |
687052800 = 211 · 33 · 52 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-333,-2109] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:20:1] |
Generators of the group modulo torsion |
j |
163379631865/27482112 |
j-invariant |
L |
9.4764525156258 |
L(r)(E,1)/r! |
Ω |
1.1303794996291 |
Real period |
R |
0.76212960651924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550bp1 |
Quadratic twists by: 5 |