Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450bw |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-42210808593750 = -1 · 2 · 311 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5630,353747] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/3705750 |
j-invariant |
L |
2.284993632193 |
L(r)(E,1)/r! |
Ω |
0.57124840804822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150m1 5490h1 |
Quadratic twists by: -3 5 |