Atkin-Lehner |
2- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55120p |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-440960000000 = -1 · 213 · 57 · 13 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -4 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2120,50032] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-200:1] [2:214:1] |
Generators of the group modulo torsion |
j |
-257380823881/107656250 |
j-invariant |
L |
8.9215357252157 |
L(r)(E,1)/r! |
Ω |
0.88115651738867 |
Real period |
R |
0.36160008989638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890c1 |
Quadratic twists by: -4 |