Atkin-Lehner |
2+ 3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550g |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17359804687500 = -1 · 22 · 32 · 510 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3250,-186000] |
[a1,a2,a3,a4,a6] |
Generators |
[40:80:1] [70:-660:1] |
Generators of the group modulo torsion |
j |
242853829919/1111027500 |
j-invariant |
L |
6.8736008374229 |
L(r)(E,1)/r! |
Ω |
0.34931135107407 |
Real period |
R |
2.4596970633069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110r2 |
Quadratic twists by: 5 |