Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650s |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-257074560000000000 = -1 · 216 · 36 · 510 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,155874,-5818352] |
[a1,a2,a3,a4,a6] |
Generators |
[293:7917:1] |
Generators of the group modulo torsion |
j |
26805797482094639/16452771840000 |
j-invariant |
L |
4.5694991699452 |
L(r)(E,1)/r! |
Ω |
0.17992621573737 |
Real period |
R |
2.1163764039403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530w1 |
Quadratic twists by: 5 |