Atkin-Lehner |
2- 3- 11+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734t |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-16931772 = -1 · 22 · 32 · 112 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,32,188] |
[a1,a2,a3,a4,a6] |
j |
3616805375/16931772 |
j-invariant |
L |
6.2951122160544 |
L(r)(E,1)/r! |
Ω |
1.5737780540136 |
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 |
59202o1 |
Quadratic twists by: -3 |