Atkin-Lehner |
5+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
9145a |
Isogeny class |
Conductor |
9145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-1686109375 = -1 · 56 · 31 · 592 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2458,47552] |
[a1,a2,a3,a4,a6] |
Generators |
[2:205:1] |
Generators of the group modulo torsion |
j |
-1641737408164209/1686109375 |
j-invariant |
L |
2.469541140561 |
L(r)(E,1)/r! |
Ω |
1.4880349058437 |
Real period |
R |
1.6595989320296 |
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 |
82305h1 45725a1 |
Quadratic twists by: -3 5 |