Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6450b |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
8062500 = 22 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
912673/516 |
j-invariant |
L |
2.5130223789139 |
L(r)(E,1)/r! |
Ω |
2.0098947438121 |
Real period |
R |
0.62516268243666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600dk1 19350bz1 258g1 |
Quadratic twists by: -4 -3 5 |