Atkin-Lehner |
2- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430bg |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-73835916560450000 = -1 · 24 · 55 · 118 · 832 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1417820,-650522355] |
[a1,a2,a3,a4,a6] |
j |
-1470434029692001/344450000 |
j-invariant |
L |
2.7670572207184 |
L(r)(E,1)/r! |
Ω |
0.069176435444668 |
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 |
100430q1 |
Quadratic twists by: -11 |