Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200w |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4048000000000 = -1 · 213 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11+ 6 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2992,72512] |
[a1,a2,a3,a4,a6] |
j |
46268279/63250 |
j-invariant |
L |
4.2205537767065 |
L(r)(E,1)/r! |
Ω |
0.52756924838544 |
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 |
12650w1 20240u1 |
Quadratic twists by: -4 5 |