Atkin-Lehner |
3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075d |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-3613551675075 = -1 · 35 · 52 · 296 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 -2 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1402,88733] |
[a1,a2,a3,a4,a6] |
Generators |
[36187478:463195305:238328] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
11.776259162358 |
L(r)(E,1)/r! |
Ω |
0.58237301174646 |
Real period |
R |
10.11058112678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63075v2 75c1 |
Quadratic twists by: 5 29 |