Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ef |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
946979678189518848 = 240 · 34 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-407393,-88594401] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:2184:1] |
Generators of the group modulo torsion |
j |
28524992814753625/3612440788992 |
j-invariant |
L |
7.5700210734084 |
L(r)(E,1)/r! |
Ω |
0.19054514402488 |
Real period |
R |
3.3106857310852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664b1 10416bd1 124992gm1 |
Quadratic twists by: -4 8 -3 |