Atkin-Lehner |
2- 3+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52152c |
Isogeny class |
Conductor |
52152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10879324416 = 28 · 32 · 412 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-772,6820] |
[a1,a2,a3,a4,a6] |
j |
199020624208/42497361 |
j-invariant |
L |
2.4187004326133 |
L(r)(E,1)/r! |
Ω |
1.2093502159068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104304c2 |
Quadratic twists by: -4 |