Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152m |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
243392823233908992 = 28 · 311 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215535,30330862] |
[a1,a2,a3,a4,a6] |
j |
5933482010818000/1304188224633 |
j-invariant |
L |
1.1790827006748 |
L(r)(E,1)/r! |
Ω |
0.29477067516869 |
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 |
9576ba1 76608ec1 6384g1 |
Quadratic twists by: -4 8 -3 |