Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21576k |
Isogeny class |
Conductor |
21576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-304092144 = -1 · 24 · 36 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 2 0 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,-1179] |
[a1,a2,a3,a4,a6] |
Generators |
[42:261:1] |
Generators of the group modulo torsion |
j |
-26409397504/19005759 |
j-invariant |
L |
6.6081955988227 |
L(r)(E,1)/r! |
Ω |
0.65440467187792 |
Real period |
R |
0.42075109655642 |
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 |
43152c1 64728g1 |
Quadratic twists by: -4 -3 |