Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17040l |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95145689088000 = 224 · 32 · 53 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-393215976,3001330436976] |
[a1,a2,a3,a4,a6] |
j |
1641561767772280600264346089/23228928000 |
j-invariant |
L |
0.83737036384355 |
L(r)(E,1)/r! |
Ω |
0.20934259096089 |
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 |
2130f4 68160df4 51120br4 85200cv4 |
Quadratic twists by: -4 8 -3 5 |