Atkin-Lehner |
3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2775f |
Isogeny class |
Conductor |
2775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2800 |
Modular degree for the optimal curve |
Δ |
-158044921875 = -1 · 37 · 59 · 37 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 -2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-708,20693] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:1121:8] |
Generators of the group modulo torsion |
j |
-20123648/80919 |
j-invariant |
L |
5.2446546632023 |
L(r)(E,1)/r! |
Ω |
0.89338145386584 |
Real period |
R |
2.9352829301009 |
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 |
44400dg1 8325be1 2775i1 102675n1 |
Quadratic twists by: -4 -3 5 37 |