Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110bp |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
2688 |
Product of Tamagawa factors cp |
Δ |
2.1634528704002E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1632032900,-25377196139568] |
[a1,a2,a3,a4,a6] |
Generators |
[-23318:14350:1] |
Generators of the group modulo torsion |
j |
480740200620847978249776918657601/216345287040017637326400 |
j-invariant |
L |
7.8100271779673 |
L(r)(E,1)/r! |
Ω |
0.023752938213305 |
Real period |
R |
1.9571581668861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104880ce2 39330h2 65550d2 |
Quadratic twists by: -4 -3 5 |