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 |
Δ |
113296312467 = 312 · 13 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3- -4 -4 -6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1800,24381] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:144:1] [-36:225:1] |
Generators of the group modulo torsion |
j |
644994939139201/113296312467 |
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 |
83421l2 |
Quadratic twists by: -3 |