Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480f |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14134348800 = 210 · 33 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-193587,-32784034] |
[a1,a2,a3,a4,a6] |
j |
29019408786852012/511225 |
j-invariant |
L |
1.8208345873637 |
L(r)(E,1)/r! |
Ω |
0.22760432360506 |
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 |
102960m2 51480bb2 |
Quadratic twists by: -4 -3 |