Atkin-Lehner |
3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20691f |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8296832728047897 = -1 · 33 · 119 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 0 4 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,4395856] |
[a1,a2,a3,a4,a6] |
j |
-1157625/130321 |
j-invariant |
L |
1.3592012806745 |
L(r)(E,1)/r! |
Ω |
0.33980032016864 |
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 |
20691e2 20691a2 |
Quadratic twists by: -3 -11 |