Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960bg |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-230859741870000 = -1 · 24 · 311 · 54 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36822,2816161] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-855:1] |
Generators of the group modulo torsion |
j |
-3632318464/151875 |
j-invariant |
L |
9.2448872193259 |
L(r)(E,1)/r! |
Ω |
0.55334426657626 |
Real period |
R |
0.3480686948712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320ba1 129960cq1 |
Quadratic twists by: -3 -19 |