Atkin-Lehner |
2- 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128100w |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-2746143750000 = -1 · 24 · 3 · 58 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369458,86313213] |
[a1,a2,a3,a4,a6] |
j |
-892360000464640/439383 |
j-invariant |
L |
1.3210393153907 |
L(r)(E,1)/r! |
Ω |
0.66052039608524 |
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 |
128100f1 |
Quadratic twists by: 5 |