Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032o |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
120244176 = 24 · 36 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3427,-78370] |
[a1,a2,a3,a4,a6] |
j |
278274085316608/7515261 |
j-invariant |
L |
3.7437981263309 |
L(r)(E,1)/r! |
Ω |
0.62396635438849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38064a1 57096f1 |
Quadratic twists by: -4 -3 |