Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550cx |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
136985625000 = 23 · 32 · 57 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1313,-4383] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:79:1] |
Generators of the group modulo torsion |
j |
16022066761/8767080 |
j-invariant |
L |
12.297860578591 |
L(r)(E,1)/r! |
Ω |
0.84720691746266 |
Real period |
R |
0.60482374116332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910i1 |
Quadratic twists by: 5 |