Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
41440h |
Isogeny class |
Conductor |
41440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
131478760000 = 26 · 54 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1417,10824] |
[a1,a2,a3,a4,a6] |
j |
4916468816064/2054355625 |
j-invariant |
L |
1.8814207846455 |
L(r)(E,1)/r! |
Ω |
0.94071039233176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41440j1 82880u2 |
Quadratic twists by: -4 8 |