Atkin-Lehner |
2- 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888m |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-119549952 = -1 · 212 · 33 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3573,-81027] |
[a1,a2,a3,a4,a6] |
j |
-1231925248000/29187 |
j-invariant |
L |
2.778709005584 |
L(r)(E,1)/r! |
Ω |
0.30874544495945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3243c1 |
Quadratic twists by: -4 |