Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550l |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6426000 = 24 · 33 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] [-18:39:8] |
Generators of the group modulo torsion |
j |
6128487/1904 |
j-invariant |
L |
7.0987418378236 |
L(r)(E,1)/r! |
Ω |
1.7783098653391 |
Real period |
R |
1.9959237633959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cz1 53550df1 |
Quadratic twists by: -3 5 |