Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584o |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
106892411904 = 210 · 32 · 194 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34795704,79013321244] |
[a1,a2,a3,a4,a6] |
Generators |
[1005:212268:1] |
Generators of the group modulo torsion |
j |
4549887423422069781007588/104387121 |
j-invariant |
L |
3.396902819116 |
L(r)(E,1)/r! |
Ω |
0.37904469384031 |
Real period |
R |
4.4808737258629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168bc1 121752g1 |
Quadratic twists by: -4 -3 |