Atkin-Lehner |
2+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15950g |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-15343253277343750 = -1 · 2 · 59 · 115 · 293 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 11+ -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98492,13331166] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1753:1] |
Generators of the group modulo torsion |
j |
-54100218938661/7855745678 |
j-invariant |
L |
2.0324387246229 |
L(r)(E,1)/r! |
Ω |
0.38024502055535 |
Real period |
R |
0.89084608377623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127600bs1 15950q1 |
Quadratic twists by: -4 5 |