Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125856j |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
-1285989552009216 = -1 · 212 · 310 · 19 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 3 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28344,2519984] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-828:1] |
Generators of the group modulo torsion |
j |
-843372923392/430675299 |
j-invariant |
L |
4.6574648844793 |
L(r)(E,1)/r! |
Ω |
0.45029811852222 |
Real period |
R |
0.64644187800255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997898063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856p1 41952k1 |
Quadratic twists by: -4 -3 |