Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856p |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
8 |
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 |
[728:19044:1] |
Generators of the group modulo torsion |
j |
-843372923392/430675299 |
j-invariant |
L |
2.0830745839921 |
L(r)(E,1)/r! |
Ω |
0.17964039475519 |
Real period |
R |
1.449475351266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999504449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856j1 41952q1 |
Quadratic twists by: -4 -3 |