Atkin-Lehner |
3- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
19053a |
Isogeny class |
Conductor |
19053 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
1543293 = 36 · 29 · 73 |
Discriminant |
Eigenvalues |
2 3- 0 -2 3 -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-243] |
[a1,a2,a3,a4,a6] |
j |
64000000/2117 |
j-invariant |
L |
3.2512084211221 |
L(r)(E,1)/r! |
Ω |
1.625604210561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2117a1 |
Quadratic twists by: -3 |