Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19040g |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-4760000 = -1 · 26 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 6 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23,96] |
[a1,a2,a3,a4,a6] |
j |
21024576/74375 |
j-invariant |
L |
3.460775547517 |
L(r)(E,1)/r! |
Ω |
1.7303877737585 |
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 |
19040d1 38080bi1 95200x1 |
Quadratic twists by: -4 8 5 |