Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
89460i |
Isogeny class |
Conductor |
89460 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-463760640 = -1 · 28 · 36 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,502] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
3286064/2485 |
j-invariant |
L |
4.2247041678784 |
L(r)(E,1)/r! |
Ω |
1.0651987660322 |
Real period |
R |
0.66101969198767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940f1 |
Quadratic twists by: -3 |