Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ik |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1574470937965363200 = -1 · 217 · 35 · 52 · 711 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17232,-60358572] |
[a1,a2,a3,a4,a6] |
j |
46969655/130691232 |
j-invariant |
L |
2.4805506663221 |
L(r)(E,1)/r! |
Ω |
0.1240275333116 |
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 |
7350bt1 58800hd2 8400bh1 |
Quadratic twists by: -4 5 -7 |