Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360z |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
3.73156875E+32 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21180798945,-737524970736543] |
[a1,a2,a3,a4,a6] |
Generators |
[12767625833:-118437139700:79507] |
Generators of the group modulo torsion |
j |
4008766897254067912673785886329/1423480510711669921875000000 |
j-invariant |
L |
5.8489043565698 |
L(r)(E,1)/r! |
Ω |
0.01288164577829 |
Real period |
R |
16.216052262428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hk4 2730k3 |
Quadratic twists by: -4 8 |