Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540g |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-167693578593750000 = -1 · 24 · 36 · 510 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-285213,61849613] |
[a1,a2,a3,a4,a6] |
Generators |
[389:3125:1] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
5.601200348505 |
L(r)(E,1)/r! |
Ω |
0.31715599215041 |
Real period |
R |
1.4717259243448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060f1 |
Quadratic twists by: -3 |