Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27300m |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3276000000 = 28 · 32 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12108,508788] |
[a1,a2,a3,a4,a6] |
j |
49081386832/819 |
j-invariant |
L |
2.5944293846278 |
L(r)(E,1)/r! |
Ω |
1.2972146923141 |
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 |
109200dw2 81900o2 1092d2 |
Quadratic twists by: -4 -3 5 |