Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56100bb |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
9835031250000 = 24 · 32 · 59 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108833,-13854912] |
[a1,a2,a3,a4,a6] |
j |
4562044141568/314721 |
j-invariant |
L |
3.1542209776569 |
L(r)(E,1)/r! |
Ω |
0.26285174811403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56100j1 |
Quadratic twists by: 5 |