Atkin-Lehner |
3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
6225c |
Isogeny class |
Conductor |
6225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-2010188671875 = -1 · 32 · 58 · 833 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 -1 4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-263,-68344] |
[a1,a2,a3,a4,a6] |
Generators |
[69:463:1] |
Generators of the group modulo torsion |
j |
-5151505/5146083 |
j-invariant |
L |
2.4441983489713 |
L(r)(E,1)/r! |
Ω |
0.37380593790279 |
Real period |
R |
1.0897804186331 |
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 |
99600df1 18675n1 6225d1 |
Quadratic twists by: -4 -3 5 |