Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bk |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
21803918582250000 = 24 · 32 · 56 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7031501,7176034305] |
[a1,a2,a3,a4,a6] |
j |
326798161405652664001/185330250000 |
j-invariant |
L |
2.5132338508173 |
L(r)(E,1)/r! |
Ω |
0.31415423169972 |
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 |
8610m2 |
Quadratic twists by: -7 |