Atkin-Lehner |
2- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71540g |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
71540000000 = 28 · 57 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1232,-10556] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:50:1] [-20:78:1] |
Generators of the group modulo torsion |
j |
16486170624/5703125 |
j-invariant |
L |
10.669218682159 |
L(r)(E,1)/r! |
Ω |
0.82859845296025 |
Real period |
R |
0.61315348908511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71540a1 |
Quadratic twists by: -7 |