Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71540n |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-3005931950000 = -1 · 24 · 55 · 77 · 73 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1568,-79919] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-245:1] |
Generators of the group modulo torsion |
j |
226492416/1596875 |
j-invariant |
L |
3.6901404664666 |
L(r)(E,1)/r! |
Ω |
0.39901376764222 |
Real period |
R |
0.15413588725744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10220b1 |
Quadratic twists by: -7 |