Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866h |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-4548128 = -1 · 25 · 132 · 292 |
Discriminant |
Eigenvalues |
2- -1 -2 -4 -3 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-409,3015] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] |
Generators of the group modulo torsion |
j |
-8998373257/5408 |
j-invariant |
L |
3.6209764031977 |
L(r)(E,1)/r! |
Ω |
2.4202821831785 |
Real period |
R |
0.14960967891943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21866e1 |
Quadratic twists by: 29 |