Atkin-Lehner |
3+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005f |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-9485810968359375 = -1 · 32 · 58 · 137 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17495,4762532] |
[a1,a2,a3,a4,a6] |
j |
-122689385209/1965234375 |
j-invariant |
L |
1.3831582071871 |
L(r)(E,1)/r! |
Ω |
0.3457894886941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8385b1 |
Quadratic twists by: 13 |