Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330bc |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-1.3874697532441E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1577611,-1621608064] |
[a1,a2,a3,a4,a6] |
Generators |
[296691:-161755514:1] |
Generators of the group modulo torsion |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
6.071969474616 |
L(r)(E,1)/r! |
Ω |
0.077658894243812 |
Real period |
R |
7.8187689055728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570l1 |
Quadratic twists by: 13 |