Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074w |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-8239968 = -1 · 25 · 34 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11,-133] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
506447/28512 |
j-invariant |
L |
6.3867523786186 |
L(r)(E,1)/r! |
Ω |
1.1133914375143 |
Real period |
R |
0.57363045586889 |
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 |
57222f1 19074be1 |
Quadratic twists by: -3 17 |