Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810bq |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6273421156800 = -1 · 26 · 32 · 52 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1398,122056] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:372:1] |
Generators of the group modulo torsion |
j |
-2565726409/53323200 |
j-invariant |
L |
5.5175030014735 |
L(r)(E,1)/r! |
Ω |
0.6333822455386 |
Real period |
R |
1.0888967602772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430dp1 4830d1 |
Quadratic twists by: -3 -7 |