Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840r |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
168509440000000000 = 223 · 510 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139852,-3893904] |
[a1,a2,a3,a4,a6] |
j |
1153957554747369/642812500000 |
j-invariant |
L |
2.6488305988863 |
L(r)(E,1)/r! |
Ω |
0.26488305976538 |
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 |
59840bg2 1870a2 |
Quadratic twists by: -4 8 |