Atkin-Lehner |
2+ 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846m |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217056 |
Modular degree for the optimal curve |
Δ |
-424681550512128 = -1 · 217 · 36 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-224313,40959341] |
[a1,a2,a3,a4,a6] |
Generators |
[215:1516:1] |
Generators of the group modulo torsion |
j |
-1712224094099844753/582553567232 |
j-invariant |
L |
3.8725346865276 |
L(r)(E,1)/r! |
Ω |
0.52000233075886 |
Real period |
R |
3.7235743548267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094g1 |
Quadratic twists by: -3 |