Atkin-Lehner |
2- 3- 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526w |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
7294884470610541056 = 29 · 318 · 74 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1416389,-635315907] |
[a1,a2,a3,a4,a6] |
Generators |
[-753:2336:1] |
Generators of the group modulo torsion |
j |
431065764363370187017/10006700234033664 |
j-invariant |
L |
14.376200506659 |
L(r)(E,1)/r! |
Ω |
0.13858554422393 |
Real period |
R |
2.8815336054852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842c2 |
Quadratic twists by: -3 |