Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520fp |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2059760646259E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1230687372,-16616814711536] |
[a1,a2,a3,a4,a6] |
j |
1078697059648930939019041/63106084995030150 |
j-invariant |
L |
2.5489665620991 |
L(r)(E,1)/r! |
Ω |
0.025489665899128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ce4 20880by4 27840dp4 |
Quadratic twists by: -4 8 -3 |