Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600w |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1083000000000 = 29 · 3 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,-49912] |
[a1,a2,a3,a4,a6] |
j |
3652264/1083 |
j-invariant |
L |
5.1907140698623 |
L(r)(E,1)/r! |
Ω |
0.64883925875459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bj2 91200bv2 45600bl2 |
Quadratic twists by: -4 8 5 |