Atkin-Lehner |
2- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192h |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-8461495876714496 = -1 · 227 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3995040,-3074811148] |
[a1,a2,a3,a4,a6] |
j |
-1721580238553093926561/2065794891776 |
j-invariant |
L |
0.21357441577055 |
L(r)(E,1)/r! |
Ω |
0.053393603940481 |
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 |
4774j1 |
Quadratic twists by: -4 |