Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800i |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-62144554780000000 = -1 · 28 · 57 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57575,-13119750] |
[a1,a2,a3,a4,a6] |
j |
-44851536/132055 |
j-invariant |
L |
0.57025124154877 |
L(r)(E,1)/r! |
Ω |
0.14256271708098 |
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 |
21560m1 15400b1 |
Quadratic twists by: 5 -7 |