Atkin-Lehner |
3+ 5+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
28635a |
Isogeny class |
Conductor |
28635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-606919924800910125 = -1 · 32 · 53 · 238 · 832 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 -4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1451008,-674396927] |
[a1,a2,a3,a4,a6] |
j |
-337857528246214637681929/606919924800910125 |
j-invariant |
L |
1.2378779217776 |
L(r)(E,1)/r! |
Ω |
0.068770995654353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85905h2 |
Quadratic twists by: -3 |