Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
27816f |
Isogeny class |
Conductor |
27816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
235213876224 = 210 · 32 · 193 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146264,21579324] |
[a1,a2,a3,a4,a6] |
Generators |
[194:684:1] |
Generators of the group modulo torsion |
j |
337939582729053028/229701051 |
j-invariant |
L |
3.6129769373308 |
L(r)(E,1)/r! |
Ω |
0.8201816214285 |
Real period |
R |
0.73418229225826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55632e2 83448r2 |
Quadratic twists by: -4 -3 |