Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074u |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1678512 = -1 · 24 · 3 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -5 11- -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57,-201] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
-70945777/5808 |
j-invariant |
L |
6.2864259211699 |
L(r)(E,1)/r! |
Ω |
0.86463060847659 |
Real period |
R |
0.90883116147225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57222l1 19074bf1 |
Quadratic twists by: -3 17 |