Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45980d |
Isogeny class |
Conductor |
45980 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
2023120 = 24 · 5 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352,2541] |
[a1,a2,a3,a4,a6] |
Generators |
[804:645:64] |
Generators of the group modulo torsion |
j |
226492416/95 |
j-invariant |
L |
5.9323252543228 |
L(r)(E,1)/r! |
Ω |
2.5759670542755 |
Real period |
R |
4.6059014958811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45980e1 |
Quadratic twists by: -11 |