Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370n |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
168875150400 = 26 · 34 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1764,20386] |
[a1,a2,a3,a4,a6] |
Generators |
[8:78:1] |
Generators of the group modulo torsion |
j |
606548448011449/168875150400 |
j-invariant |
L |
3.5355999148102 |
L(r)(E,1)/r! |
Ω |
0.94913076461831 |
Real period |
R |
0.23281828269944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110cn1 |
Quadratic twists by: -3 |