Atkin-Lehner |
3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65559f |
Isogeny class |
Conductor |
65559 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134104320 |
Modular degree for the optimal curve |
Δ |
-2.8051066284678E+19 |
Discriminant |
Eigenvalues |
-2 3- -4 -2 5 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15982528310,-777712916991370] |
[a1,a2,a3,a4,a6] |
j |
-95051071934010512925700096/5905358043 |
j-invariant |
L |
0.48338224246257 |
L(r)(E,1)/r! |
Ω |
0.0067136421440884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599c1 |
Quadratic twists by: 41 |