Atkin-Lehner |
3- 13- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
27807m |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-4999733299941782103 = -1 · 314 · 132 · 235 · 312 |
Discriminant |
Eigenvalues |
1 3- -2 2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159697,-110361961] |
[a1,a2,a3,a4,a6] |
j |
-450412128076665737737/4999733299941782103 |
j-invariant |
L |
1.4461795977762 |
L(r)(E,1)/r! |
Ω |
0.10329854269838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83421w1 |
Quadratic twists by: -3 |