Atkin-Lehner |
2+ 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546x |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
319200 |
Modular degree for the optimal curve |
Δ |
87965846470656 = 219 · 36 · 73 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13308,384848] |
[a1,a2,a3,a4,a6] |
j |
357563283664833/120666456064 |
j-invariant |
L |
1.6700046426167 |
L(r)(E,1)/r! |
Ω |
0.55666821771495 |
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 |
9394m1 |
Quadratic twists by: -3 |