Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730bj |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
-8616420405411840000 = -1 · 226 · 310 · 54 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5528948,5007311831] |
[a1,a2,a3,a4,a6] |
Generators |
[741:-36659:1] |
Generators of the group modulo torsion |
j |
-25640330942383576506361/11819506728960000 |
j-invariant |
L |
9.6979759325856 |
L(r)(E,1)/r! |
Ω |
0.22861796112099 |
Real period |
R |
0.40788470042072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910x1 |
Quadratic twists by: -3 |