Atkin-Lehner |
2+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27328d |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5616475045888 = 228 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ -3 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46177,3833057] |
[a1,a2,a3,a4,a6] |
j |
41540367914137/21425152 |
j-invariant |
L |
1.5008638329263 |
L(r)(E,1)/r! |
Ω |
0.75043191646344 |
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 |
27328bd1 854a1 |
Quadratic twists by: -4 8 |