Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576bn |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43902922752 = 212 · 37 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,-109280] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:4:1] [168:1976:1] |
Generators of the group modulo torsion |
j |
3010936384/14703 |
j-invariant |
L |
8.4436019487885 |
L(r)(E,1)/r! |
Ω |
0.58864720007396 |
Real period |
R |
7.1720395060191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576p2 36192t2 |
Quadratic twists by: -4 -3 |