Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074d |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
5392447301165776896 = 238 · 3 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2972379,-1970514915] |
[a1,a2,a3,a4,a6] |
j |
591139158854005457801/1097587482427392 |
j-invariant |
L |
1.3799176663162 |
L(r)(E,1)/r! |
Ω |
0.11499313885968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bk1 19074h1 |
Quadratic twists by: -3 17 |