Atkin-Lehner |
2- 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55120t |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-476942336000 = -1 · 215 · 53 · 133 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,840,31600] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:80:1] [12:-208:1] |
Generators of the group modulo torsion |
j |
15983964359/116441000 |
j-invariant |
L |
8.4266244270666 |
L(r)(E,1)/r! |
Ω |
0.68008538105617 |
Real period |
R |
0.34418163847071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890f1 |
Quadratic twists by: -4 |