Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650cu |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-17042812500 = -1 · 22 · 3 · 57 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-588,8292] |
[a1,a2,a3,a4,a6] |
Generators |
[32:134:1] |
Generators of the group modulo torsion |
j |
-1439069689/1090740 |
j-invariant |
L |
12.056972304943 |
L(r)(E,1)/r! |
Ω |
1.1331600950295 |
Real period |
R |
1.3300164246145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11130h1 |
Quadratic twists by: 5 |