Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960da |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
75479040 |
Modular degree for the optimal curve |
Δ |
-1.8386415560226E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408890561,-7258855353261] |
[a1,a2,a3,a4,a6] |
j |
-251024877317069793166336/610476381287841796875 |
j-invariant |
L |
0.37568505023793 |
L(r)(E,1)/r! |
Ω |
0.015653540962536 |
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 |
14280bn1 |
Quadratic twists by: -7 |