Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320i |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16195172400000000 = 210 · 39 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10665363,-13406380162] |
[a1,a2,a3,a4,a6] |
j |
179731066536892146244/21694921875 |
j-invariant |
L |
0.66833718732519 |
L(r)(E,1)/r! |
Ω |
0.083542149923611 |
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 |
22440t4 |
Quadratic twists by: -3 |