Atkin-Lehner |
2+ 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290l |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
1659932580096000000 = 214 · 313 · 56 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-370035,-60437259] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:3117:1] [-447:4161:1] |
Generators of the group modulo torsion |
j |
7686440259227699761/2276999424000000 |
j-invariant |
L |
6.5368395008057 |
L(r)(E,1)/r! |
Ω |
0.19798556692625 |
Real period |
R |
8.2541869115687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bk1 |
Quadratic twists by: -3 |