Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640p |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36771840 |
Modular degree for the optimal curve |
Δ |
-7.1848432708605E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -4 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200650900,-682975171248] |
[a1,a2,a3,a4,a6] |
Generators |
[10384:1587500:1] |
Generators of the group modulo torsion |
j |
569208099614384/457763671875 |
j-invariant |
L |
3.337227464572 |
L(r)(E,1)/r! |
Ω |
0.028171922406648 |
Real period |
R |
3.7018545197378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320bj1 86640z1 |
Quadratic twists by: -4 -19 |