Atkin-Lehner |
3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20349a |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4154246091261 = -1 · 39 · 7 · 174 · 192 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2081,105166] |
[a1,a2,a3,a4,a6] |
Generators |
[11:283:1] |
Generators of the group modulo torsion |
j |
-50611941099/211057567 |
j-invariant |
L |
1.9513712775147 |
L(r)(E,1)/r! |
Ω |
0.67966505660496 |
Real period |
R |
1.4355389162289 |
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 |
20349b2 |
Quadratic twists by: -3 |