Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
104044d |
Isogeny class |
Conductor |
104044 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-12479693253376 = -1 · 28 · 19 · 376 |
Discriminant |
Eigenvalues |
2- 2 1 -3 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29205,-1918831] |
[a1,a2,a3,a4,a6] |
Generators |
[113085155:2347339422:226981] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
11.038457260454 |
L(r)(E,1)/r! |
Ω |
0.18255188181049 |
Real period |
R |
10.077917884109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76a1 |
Quadratic twists by: 37 |