Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600da |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1386750000 = -1 · 24 · 3 · 56 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,2838] |
[a1,a2,a3,a4,a6] |
j |
-16384000/5547 |
j-invariant |
L |
1.4338402781867 |
L(r)(E,1)/r! |
Ω |
1.4338402783986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12900a1 2064d1 |
Quadratic twists by: -4 5 |