Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880s |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
572811252934440960 = 211 · 36 · 5 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1738560,881002260] |
[a1,a2,a3,a4,a6] |
j |
283767765037063332482/279692994596895 |
j-invariant |
L |
3.472781957524 |
L(r)(E,1)/r! |
Ω |
0.28939849648246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440t6 |
Quadratic twists by: -4 |