Atkin-Lehner |
2- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
21488f |
Isogeny class |
Conductor |
21488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
94426981751324672 = 223 · 172 · 794 |
Discriminant |
Eigenvalues |
2- -2 0 4 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-210128,-34069100] |
[a1,a2,a3,a4,a6] |
j |
250505699702316625/23053462341632 |
j-invariant |
L |
0.89720106686547 |
L(r)(E,1)/r! |
Ω |
0.22430026671637 |
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 |
2686d2 85952p2 |
Quadratic twists by: -4 8 |