Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gi |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
-8.6268713931418E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139150081,773811313919] |
[a1,a2,a3,a4,a6] |
Generators |
[-12481:752640:1] |
Generators of the group modulo torsion |
j |
-1136669439536177967564481/329089027143166617600 |
j-invariant |
L |
8.4694743433037 |
L(r)(E,1)/r! |
Ω |
0.057426315182532 |
Real period |
R |
0.87788216249696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360j2 21840bn2 |
Quadratic twists by: -4 8 |