Atkin-Lehner |
3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20691b |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3414159071433 = -1 · 39 · 113 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11+ -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-650,89290] |
[a1,a2,a3,a4,a6] |
Generators |
[25:284:1] |
Generators of the group modulo torsion |
j |
-1157625/130321 |
j-invariant |
L |
1.8796281779319 |
L(r)(E,1)/r! |
Ω |
0.65066807550747 |
Real period |
R |
1.4443832798051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20691a2 20691e2 |
Quadratic twists by: -3 -11 |