Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bf |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7.0075269671223E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4848145,814538257] |
[a1,a2,a3,a4,a6] |
Generators |
[-2261:14580:1] |
Generators of the group modulo torsion |
j |
769184747004659888464/427705503364400625 |
j-invariant |
L |
6.3432944394486 |
L(r)(E,1)/r! |
Ω |
0.11502635767177 |
Real period |
R |
3.4466526623889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013904 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360gp2 10920r2 |
Quadratic twists by: -4 8 |