Atkin-Lehner |
3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72111a |
Isogeny class |
Conductor |
72111 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.8580868484936E+20 |
Discriminant |
Eigenvalues |
1 3+ 2 2 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5914989,-5458281390] |
[a1,a2,a3,a4,a6] |
Generators |
[43952418649389500283429431623414845125033870260:-8434521270156552324646189248960773939105641409525:1194426148533084395894250121535726779192384] |
Generators of the group modulo torsion |
j |
45537538411/767637 |
j-invariant |
L |
7.2817255560386 |
L(r)(E,1)/r! |
Ω |
0.096906985445618 |
Real period |
R |
75.141389672008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72111c2 |
Quadratic twists by: -43 |