Atkin-Lehner |
2- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728u |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
738177879498752 = 213 · 710 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48840,-3927184] |
[a1,a2,a3,a4,a6] |
Generators |
[9507:127808:27] |
Generators of the group modulo torsion |
j |
3145571940578761/180219208862 |
j-invariant |
L |
5.3931870329316 |
L(r)(E,1)/r! |
Ω |
0.32229615300968 |
Real period |
R |
8.3668188133305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466b2 |
Quadratic twists by: -4 |