Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074g |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-62314758 = -1 · 2 · 34 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1647,-25856] |
[a1,a2,a3,a4,a6] |
j |
-1708156114633/215622 |
j-invariant |
L |
1.4989407063182 |
L(r)(E,1)/r! |
Ω |
0.37473517657955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57222bq1 19074e1 |
Quadratic twists by: -3 17 |