Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fp |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
3.5391263072256E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6612302145,-206953181970975] |
[a1,a2,a3,a4,a6] |
Generators |
[-46920:9555:1] |
Generators of the group modulo torsion |
j |
121966864931689155376172184529/135006954468750000000 |
j-invariant |
L |
7.2436660808528 |
L(r)(E,1)/r! |
Ω |
0.016742157029118 |
Real period |
R |
1.8027511012422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360df4 21840bx4 |
Quadratic twists by: -4 8 |