Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416fz |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1155244507103232 = -1 · 215 · 318 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26196,-104848] |
[a1,a2,a3,a4,a6] |
j |
83224499896/48361131 |
j-invariant |
L |
2.3113851283411 |
L(r)(E,1)/r! |
Ω |
0.28892314099546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416er3 26208bs2 17472cg4 |
Quadratic twists by: -4 8 -3 |