Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bj |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
839808 |
Modular degree for the optimal curve |
Δ |
-3231660260583720000 = -1 · 26 · 318 · 54 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1017251,-404348002] |
[a1,a2,a3,a4,a6] |
Generators |
[1287:19816:1] |
Generators of the group modulo torsion |
j |
-186263370516259764025/5170656416933952 |
j-invariant |
L |
5.6606914372589 |
L(r)(E,1)/r! |
Ω |
0.075041517058836 |
Real period |
R |
2.0953924570775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97650ew1 32550bs1 |
Quadratic twists by: -3 5 |