Atkin-Lehner |
3+ 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109275f |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259840 |
Modular degree for the optimal curve |
Δ |
-12438568359375 = -1 · 3 · 59 · 312 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5550,-56625] |
[a1,a2,a3,a4,a6] |
j |
9677214091/6368547 |
j-invariant |
L |
0.81151449948989 |
L(r)(E,1)/r! |
Ω |
0.40575738923673 |
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 |
109275r1 |
Quadratic twists by: 5 |