Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665i |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
115224609375 = 33 · 510 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6797,-213354] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:39:1] |
Generators of the group modulo torsion |
j |
1286032235748723/4267578125 |
j-invariant |
L |
3.1606079882976 |
L(r)(E,1)/r! |
Ω |
0.52591054785134 |
Real period |
R |
1.2019564928715 |
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 |
19665d2 98325i2 |
Quadratic twists by: -3 5 |