Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600bz |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1114560000000 = -1 · 212 · 34 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-50688] |
[a1,a2,a3,a4,a6] |
Generators |
[72:600:1] |
Generators of the group modulo torsion |
j |
357911/17415 |
j-invariant |
L |
3.9370720282467 |
L(r)(E,1)/r! |
Ω |
0.41680732173946 |
Real period |
R |
1.1807230292155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3225e1 10320bb1 |
Quadratic twists by: -4 5 |