Atkin-Lehner |
3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21879l |
Isogeny class |
Conductor |
21879 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-16010926548903 = -1 · 318 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5562,106191] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3737:1] |
Generators of the group modulo torsion |
j |
26100282937247/21962862207 |
j-invariant |
L |
5.0966946068911 |
L(r)(E,1)/r! |
Ω |
0.4515592754019 |
Real period |
R |
5.6434391723599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293c1 |
Quadratic twists by: -3 |