Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450y |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-44469000 = -1 · 23 · 36 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[9:18:1] |
Generators of the group modulo torsion |
j |
6859/488 |
j-invariant |
L |
2.7615160111543 |
L(r)(E,1)/r! |
Ω |
0.96449882798289 |
Real period |
R |
0.71579040094056 |
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 |
3050l1 27450cb1 |
Quadratic twists by: -3 5 |