Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dt |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
642096000000000000 = 216 · 32 · 512 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3445345,2460034943] |
[a1,a2,a3,a4,a6] |
Generators |
[1181:6300:1] |
Generators of the group modulo torsion |
j |
69014771940559650916/9797607421875 |
j-invariant |
L |
9.2552789225263 |
L(r)(E,1)/r! |
Ω |
0.27808684181915 |
Real period |
R |
0.92449926614042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ff4 10920c4 |
Quadratic twists by: -4 8 |