Atkin-Lehner |
3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185o |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-128929774365 = -1 · 32 · 5 · 79 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -5 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,-17410] |
[a1,a2,a3,a4,a6] |
Generators |
[67:481:1] |
Generators of the group modulo torsion |
j |
-24137569/1095885 |
j-invariant |
L |
3.7836725658848 |
L(r)(E,1)/r! |
Ω |
0.45602505674177 |
Real period |
R |
1.0371339551153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7455b1 |
Quadratic twists by: -7 |