Atkin-Lehner |
2- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
76700i |
Isogeny class |
Conductor |
76700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
72360 |
Modular degree for the optimal curve |
Δ |
-4793750000 = -1 · 24 · 58 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -3 5- 4 0 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-625,-6875] |
[a1,a2,a3,a4,a6] |
j |
-4320000/767 |
j-invariant |
L |
1.4185378756868 |
L(r)(E,1)/r! |
Ω |
0.47284595543598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76700c1 |
Quadratic twists by: 5 |