Atkin-Lehner |
2- 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bs |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
Δ |
3.4000507345306E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18703713,-13509615969] |
[a1,a2,a3,a4,a6] |
Generators |
[-3845:41672:1] [-1089:75168:1] |
Generators of the group modulo torsion |
j |
46311321839993213999689/21760324700995584000 |
j-invariant |
L |
13.41109860237 |
L(r)(E,1)/r! |
Ω |
0.075991111585348 |
Real period |
R |
0.49022906622055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490k3 |
Quadratic twists by: 5 |