Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bu |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1.7108220134576E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30300908,-12712009812] |
[a1,a2,a3,a4,a6] |
Generators |
[-3257:226800:1] |
Generators of the group modulo torsion |
j |
769184747004659888464/427705503364400625 |
j-invariant |
L |
8.5135066833112 |
L(r)(E,1)/r! |
Ω |
0.069006959021492 |
Real period |
R |
3.0842928082845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836123 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600b2 21840b2 |
Quadratic twists by: -4 5 |