Atkin-Lehner |
3- 13- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27807n |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-2723111703 = -1 · 36 · 132 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3- -4 -4 -6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,215,2216] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:23:1] [5:-61:1] |
Generators of the group modulo torsion |
j |
1098785291759/2723111703 |
j-invariant |
L |
4.2059072681025 |
L(r)(E,1)/r! |
Ω |
1.0033243946871 |
Real period |
R |
0.69866191671992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83421l1 |
Quadratic twists by: -3 |