Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
212b |
Isogeny class |
Conductor |
212 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
848 = 24 · 53 |
Discriminant |
Eigenvalues |
2- 2 2 0 -4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,-22] |
[a1,a2,a3,a4,a6] |
j |
35995648/53 |
j-invariant |
L |
1.7550063774399 |
L(r)(E,1)/r! |
Ω |
2.3400085032532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
848d2 3392j1 1908b1 5300e1 |
Quadratic twists by: -4 8 -3 5 |