Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826bd |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-209878096896 = -1 · 210 · 311 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -1 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,796,-20473] |
[a1,a2,a3,a4,a6] |
Generators |
[45:301:1] |
Generators of the group modulo torsion |
j |
76603177223/287898624 |
j-invariant |
L |
5.2332310968621 |
L(r)(E,1)/r! |
Ω |
0.50808743800723 |
Real period |
R |
0.25749657959403 |
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 |
6942g1 |
Quadratic twists by: -3 |