Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gh |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-15899767603200 = -1 · 226 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52833,-4695777] |
[a1,a2,a3,a4,a6] |
Generators |
[279:1536:1] |
Generators of the group modulo torsion |
j |
-2488672890625/2426112 |
j-invariant |
L |
6.1966206989474 |
L(r)(E,1)/r! |
Ω |
0.15744075694327 |
Real period |
R |
1.63993450073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400e1 15600bg1 62400ft1 |
Quadratic twists by: -4 8 5 |