Atkin-Lehner |
2- 3+ 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766v |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
35436800 |
Modular degree for the optimal curve |
Δ |
-1.5207560123833E+26 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -6 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-926143089,10864215821919] |
[a1,a2,a3,a4,a6] |
Generators |
[1616788:120462911:64] |
Generators of the group modulo torsion |
j |
-87853280523413561006552847862417/152075601238333197374009424 |
j-invariant |
L |
8.567015891391 |
L(r)(E,1)/r! |
Ω |
0.057784775518587 |
Real period |
R |
2.6474521231418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298c1 |
Quadratic twists by: -3 |