Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475f |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1913157806396484375 = 39 · 516 · 72 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-354417,-46460134] |
[a1,a2,a3,a4,a6] |
j |
16008724040427/6220703125 |
j-invariant |
L |
0.80898103642226 |
L(r)(E,1)/r! |
Ω |
0.20224525910557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20475h2 4095e2 |
Quadratic twists by: -3 5 |