Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450c |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-51468750 = -1 · 2 · 33 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-192,-1034] |
[a1,a2,a3,a4,a6] |
Generators |
[23:68:1] |
Generators of the group modulo torsion |
j |
-1860867/122 |
j-invariant |
L |
3.678517742852 |
L(r)(E,1)/r! |
Ω |
0.63869966607685 |
Real period |
R |
2.8796928652296 |
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 |
27450bf1 1098g1 |
Quadratic twists by: -3 5 |