Atkin-Lehner |
3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20535b |
Isogeny class |
Conductor |
20535 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-157903513851018555 = -1 · 35 · 5 · 379 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-269426501,-1702281949489] |
[a1,a2,a3,a4,a6] |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
1.6768800215981 |
L(r)(E,1)/r! |
Ω |
0.018632000239979 |
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 |
61605i2 102675c2 555b2 |
Quadratic twists by: -3 5 37 |