Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204j |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
2823511585057488 = 24 · 32 · 139 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116497,15128398] |
[a1,a2,a3,a4,a6] |
Generators |
[2206:102414:1] |
Generators of the group modulo torsion |
j |
2264078958592/36560277 |
j-invariant |
L |
8.328323299224 |
L(r)(E,1)/r! |
Ω |
0.4537426109287 |
Real period |
R |
4.5886826023759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708e1 |
Quadratic twists by: 13 |