Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gd |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
16343982648852480 = 234 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64812,-1581104] |
[a1,a2,a3,a4,a6] |
Generators |
[3440:201204:1] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
7.4510542482927 |
L(r)(E,1)/r! |
Ω |
0.31908881542824 |
Real period |
R |
5.8377588693342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cs1 20880bq1 27840dg1 |
Quadratic twists by: -4 8 -3 |