Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960cr |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-30027225495444480 = -1 · 210 · 38 · 5 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,76893,-1467826] |
[a1,a2,a3,a4,a6] |
Generators |
[80740:2935197:64] |
Generators of the group modulo torsion |
j |
1431644/855 |
j-invariant |
L |
7.2662294257627 |
L(r)(E,1)/r! |
Ω |
0.21700063839303 |
Real period |
R |
8.3712073848271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320c1 6840i1 |
Quadratic twists by: -3 -19 |