Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432g |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
283024 = 24 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ 4 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,-19] |
[a1,a2,a3,a4,a6] |
j |
131328/49 |
j-invariant |
L |
4.7178333964288 |
L(r)(E,1)/r! |
Ω |
2.3589166982153 |
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 |
20216l1 40432c1 |
Quadratic twists by: -4 -19 |