Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592be |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1641201408 = -1 · 28 · 32 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-404,3552] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:66:1] |
Generators of the group modulo torsion |
j |
-28556329552/6410943 |
j-invariant |
L |
6.1145182844422 |
L(r)(E,1)/r! |
Ω |
1.4314724771654 |
Real period |
R |
0.53393606774979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184k1 |
Quadratic twists by: -4 |