Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bj |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
652800 = 29 · 3 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288,-1788] |
[a1,a2,a3,a4,a6] |
j |
207108680/51 |
j-invariant |
L |
2.3171932503969 |
L(r)(E,1)/r! |
Ω |
1.1585966251782 |
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 |
40800v1 81600da1 122400bm1 40800be1 |
Quadratic twists by: -4 8 -3 5 |