Atkin-Lehner |
2+ 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62480d |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
2499200000 = 210 · 55 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52066667,144606488426] |
[a1,a2,a3,a4,a6] |
j |
15244145604781281874400004/2440625 |
j-invariant |
L |
1.9356270110654 |
L(r)(E,1)/r! |
Ω |
0.38712540397822 |
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 |
31240b4 |
Quadratic twists by: -4 |