Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390l |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
20455219858500000 = 25 · 38 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105525,-11231339] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:728:1] |
Generators of the group modulo torsion |
j |
178264383385208401/28059286500000 |
j-invariant |
L |
4.024245997586 |
L(r)(E,1)/r! |
Ω |
0.2676982282616 |
Real period |
R |
1.2527308653101 |
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 |
11130ba2 |
Quadratic twists by: -3 |