Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bf |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.5450903478826E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18965855,6429879457] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:26340:1] |
Generators of the group modulo torsion |
j |
11512271847440983233884/6935257488834531675 |
j-invariant |
L |
6.3432944394486 |
L(r)(E,1)/r! |
Ω |
0.057513178835884 |
Real period |
R |
6.8933053247777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000055617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gp3 10920r4 |
Quadratic twists by: -4 8 |