Atkin-Lehner |
13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93119i |
Isogeny class |
Conductor |
93119 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
249120 |
Modular degree for the optimal curve |
Δ |
38966644809989 = 134 · 196 · 29 |
Discriminant |
Eigenvalues |
-2 0 1 0 2 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19097,-970356] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:180:1] |
Generators of the group modulo torsion |
j |
26967814189056/1364330549 |
j-invariant |
L |
3.5578737494233 |
L(r)(E,1)/r! |
Ω |
0.40739990752775 |
Real period |
R |
0.48517353426441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93119e1 |
Quadratic twists by: 13 |