Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43928a |
Isogeny class |
Conductor |
43928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38272 |
Modular degree for the optimal curve |
Δ |
-117405135616 = -1 · 28 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 2 1 3 3 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,16869] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:138:1] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
10.345841706134 |
L(r)(E,1)/r! |
Ω |
0.88419924930493 |
Real period |
R |
2.9252008849411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87856d1 152a1 |
Quadratic twists by: -4 17 |