Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5088f |
Isogeny class |
Conductor |
5088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
131056704 = 26 · 36 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-954,11016] |
[a1,a2,a3,a4,a6] |
j |
1501910377408/2047761 |
j-invariant |
L |
2.7694883645448 |
L(r)(E,1)/r! |
Ω |
1.8463255763632 |
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 |
5088b1 10176a2 15264d1 127200d1 |
Quadratic twists by: -4 8 -3 5 |