Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19040p |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18560 |
Modular degree for the optimal curve |
Δ |
-203550699520 = -1 · 212 · 5 · 7 · 175 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7832,267664] |
[a1,a2,a3,a4,a6] |
j |
-12971249127936/49694995 |
j-invariant |
L |
2.0147859809345 |
L(r)(E,1)/r! |
Ω |
1.0073929904673 |
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 |
19040m1 38080bf1 95200b1 |
Quadratic twists by: -4 8 5 |