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 |
2.5949680251479E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416569665,-3179258143263] |
[a1,a2,a3,a4,a6] |
Generators |
[-12921:214200:1] |
Generators of the group modulo torsion |
j |
30496269316997451137719249/989901742991616000000 |
j-invariant |
L |
7.2436660808528 |
L(r)(E,1)/r! |
Ω |
0.033484314058235 |
Real period |
R |
3.6055022024845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940828 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360df2 21840bx2 |
Quadratic twists by: -4 8 |