Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200r |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-7383013130240000000 = -1 · 227 · 57 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,251592,121455188] |
[a1,a2,a3,a4,a6] |
j |
27518990257871/115359580160 |
j-invariant |
L |
2.6872450774147 |
L(r)(E,1)/r! |
Ω |
0.16795280618604 |
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 |
12650l1 20240l1 |
Quadratic twists by: -4 5 |