Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224h |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-684637090705152 = -1 · 28 · 320 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 -4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23943,1902170] |
[a1,a2,a3,a4,a6] |
Generators |
[21055:203416:125] |
Generators of the group modulo torsion |
j |
-8133770514256/3668537223 |
j-invariant |
L |
7.4924433477851 |
L(r)(E,1)/r! |
Ω |
0.4765120000095 |
Real period |
R |
7.8617572564519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448j1 18408i1 |
Quadratic twists by: -4 -3 |