Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ck |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2450762697277440000 = 230 · 32 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1334401,588059615] |
[a1,a2,a3,a4,a6] |
Generators |
[589:2604:1] |
Generators of the group modulo torsion |
j |
1002404925316922401/9348917760000 |
j-invariant |
L |
8.314361878271 |
L(r)(E,1)/r! |
Ω |
0.2589337961557 |
Real period |
R |
4.0137488819902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995621 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360ec2 2730x2 |
Quadratic twists by: -4 8 |