Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518i |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-129037176400176 = -1 · 24 · 38 · 113 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2502,543780] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:582:1] |
Generators of the group modulo torsion |
j |
1784770597/132987024 |
j-invariant |
L |
3.6160266214666 |
L(r)(E,1)/r! |
Ω |
0.447390251184 |
Real period |
R |
0.5051555397046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506bf2 67518bj2 |
Quadratic twists by: -3 -11 |