Atkin-Lehner |
3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605b |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.9592800591058E+24 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89670858,-297350597277] |
[a1,a2,a3,a4,a6] |
j |
677781101619292083943321/67652764231789288125 |
j-invariant |
L |
0.88877561168393 |
L(r)(E,1)/r! |
Ω |
0.049376422871502 |
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 |
94815bf4 4515h3 |
Quadratic twists by: -3 -7 |