Atkin-Lehner |
5+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52925a |
Isogeny class |
Conductor |
52925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
12073515625 = 57 · 29 · 732 |
Discriminant |
Eigenvalues |
1 0 5+ 2 2 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-402442,-98165409] |
[a1,a2,a3,a4,a6] |
Generators |
[271056972424270241650:10108613559592947345451:159462566287046875] |
Generators of the group modulo torsion |
j |
461332646708918769/772705 |
j-invariant |
L |
6.4523453931673 |
L(r)(E,1)/r! |
Ω |
0.18954995230289 |
Real period |
R |
34.040343006069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10585a1 |
Quadratic twists by: 5 |