Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866a |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-3329640124668416 = -1 · 29 · 13 · 298 |
Discriminant |
Eigenvalues |
2+ -1 -3 -3 4 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36146,-828364] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1587:8] |
Generators of the group modulo torsion |
j |
8780064047/5597696 |
j-invariant |
L |
1.6865785157113 |
L(r)(E,1)/r! |
Ω |
0.25620084501028 |
Real period |
R |
3.2915163016804 |
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 |
754d1 |
Quadratic twists by: 29 |