Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5088f |
Isogeny class |
Conductor |
5088 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-115369463808 = -1 · 212 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-689,17535] |
[a1,a2,a3,a4,a6] |
j |
-8844058432/28166373 |
j-invariant |
L |
2.7694883645448 |
L(r)(E,1)/r! |
Ω |
0.92316278818161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5088b4 10176a1 15264d4 127200d2 |
Quadratic twists by: -4 8 -3 5 |