Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bk |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50647894500 = 22 · 3 · 53 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112504001,459294452805] |
[a1,a2,a3,a4,a6] |
j |
1338564722556322122624001/430500 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610m3 |
Quadratic twists by: -7 |