Atkin-Lehner |
2- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21896b |
Isogeny class |
Conductor |
21896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5248 |
Modular degree for the optimal curve |
Δ |
-5211248 = -1 · 24 · 72 · 172 · 23 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 0 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,161] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] [8:17:1] |
Generators of the group modulo torsion |
j |
-453519616/325703 |
j-invariant |
L |
5.3353178982033 |
L(r)(E,1)/r! |
Ω |
2.228203508755 |
Real period |
R |
0.29930602597783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43792a1 |
Quadratic twists by: -4 |