Atkin-Lehner |
3- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
116571p |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
340708369007097 = 32 · 710 · 133 · 61 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-134408,-18956841] |
[a1,a2,a3,a4,a6] |
j |
2282501283504625/2895973353 |
j-invariant |
L |
0.49871909291754 |
L(r)(E,1)/r! |
Ω |
0.24935974546883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16653c1 |
Quadratic twists by: -7 |