Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110bf |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-575557731840000 = -1 · 212 · 3 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24183,1849306] |
[a1,a2,a3,a4,a6] |
j |
-13293525831769/4892160000 |
j-invariant |
L |
1.9464662613324 |
L(r)(E,1)/r! |
Ω |
0.48661656533309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330eb1 95550hj1 2730b1 |
Quadratic twists by: -3 5 -7 |