Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44460f |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-72025200 = -1 · 24 · 36 · 52 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-263] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-45:1] |
Generators of the group modulo torsion |
j |
6243584/6175 |
j-invariant |
L |
6.0449372843461 |
L(r)(E,1)/r! |
Ω |
1.0586756164583 |
Real period |
R |
0.47582542363682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940g1 |
Quadratic twists by: -3 |