Atkin-Lehner |
3- 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59409c |
Isogeny class |
Conductor |
59409 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
207146374479009 = 322 · 7 · 23 · 41 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318078,-68964665] |
[a1,a2,a3,a4,a6] |
j |
4882000817235743713/284151405321 |
j-invariant |
L |
0.80413245043594 |
L(r)(E,1)/r! |
Ω |
0.20103311375515 |
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 |
19803a4 |
Quadratic twists by: -3 |