Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050s |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-202636129695312500 = -1 · 22 · 59 · 1110 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,114383,15699041] |
[a1,a2,a3,a4,a6] |
Generators |
[6888:208181:27] |
Generators of the group modulo torsion |
j |
3267/4 |
j-invariant |
L |
4.8977846202038 |
L(r)(E,1)/r! |
Ω |
0.21244821816291 |
Real period |
R |
5.7635039994169 |
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 |
48400dn1 54450gw1 6050bq1 6050bp1 |
Quadratic twists by: -4 -3 5 -11 |