Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200w |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-157085500000000 = -1 · 28 · 59 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,602912] |
[a1,a2,a3,a4,a6] |
j |
5488/314171 |
j-invariant |
L |
1.8229513803735 |
L(r)(E,1)/r! |
Ω |
0.45573784585566 |
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 |
28600k2 57200u2 |
Quadratic twists by: -4 5 |