Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800kd |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-65028096000000000 = -1 · 223 · 34 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38792,-11898412] |
[a1,a2,a3,a4,a6] |
Generators |
[4358:288000:1] |
Generators of the group modulo torsion |
j |
16468459/165888 |
j-invariant |
L |
8.842320277485 |
L(r)(E,1)/r! |
Ω |
0.17206091418109 |
Real period |
R |
1.6059574598159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350r1 58800hm1 58800gq1 |
Quadratic twists by: -4 5 -7 |