Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866d |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
298066116608 = 221 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 0 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1670,-1516] |
[a1,a2,a3,a4,a6] |
j |
613032366625/354418688 |
j-invariant |
L |
1.633905267341 |
L(r)(E,1)/r! |
Ω |
0.81695263367049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21866l1 |
Quadratic twists by: 29 |