Atkin-Lehner |
2+ 3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81498c |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12690432 |
Modular degree for the optimal curve |
Δ |
-2.3147628288453E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 6 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6391096,9602375488] |
[a1,a2,a3,a4,a6] |
j |
-14320580660713/11481993216 |
j-invariant |
L |
2.6461108991189 |
L(r)(E,1)/r! |
Ω |
0.11025462378271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81498l1 |
Quadratic twists by: 17 |