Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450l |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-78775499430000000 = -1 · 27 · 317 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-538317,-152485659] |
[a1,a2,a3,a4,a6] |
j |
-1514575392925321/6915818880 |
j-invariant |
L |
0.3524125348316 |
L(r)(E,1)/r! |
Ω |
0.088103133707854 |
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 |
9150w1 5490q1 |
Quadratic twists by: -3 5 |