Atkin-Lehner |
5- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19565h |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-838849375 = -1 · 54 · 74 · 13 · 43 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-397,3444] |
[a1,a2,a3,a4,a6] |
j |
-6903498885921/838849375 |
j-invariant |
L |
1.5388058909689 |
L(r)(E,1)/r! |
Ω |
1.5388058909689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97825f1 |
Quadratic twists by: 5 |