Atkin-Lehner |
2- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55384f |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
775376 = 24 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-327,2170] |
[a1,a2,a3,a4,a6] |
Generators |
[3:35:1] |
Generators of the group modulo torsion |
j |
242423339008/48461 |
j-invariant |
L |
3.1154315475524 |
L(r)(E,1)/r! |
Ω |
2.7555647396233 |
Real period |
R |
1.1305963901865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110768k1 |
Quadratic twists by: -4 |