Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800jh |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-489631389843456000 = -1 · 223 · 34 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,76032,32710068] |
[a1,a2,a3,a4,a6] |
j |
16468459/165888 |
j-invariant |
L |
3.4656987334278 |
L(r)(E,1)/r! |
Ω |
0.21660617100479 |
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 |
7350bz1 58800gq1 58800hm1 |
Quadratic twists by: -4 5 -7 |