Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032i |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1235100672 = 210 · 32 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25731264,-50247440208] |
[a1,a2,a3,a4,a6] |
j |
1839954714967756368993028/1206153 |
j-invariant |
L |
3.2175515263489 |
L(r)(E,1)/r! |
Ω |
0.067032323465603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38064e4 57096q4 |
Quadratic twists by: -4 -3 |