Atkin-Lehner |
2- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
44720l |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-3348228787404800 = -1 · 223 · 52 · 135 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -1 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24336,-3136064] |
[a1,a2,a3,a4,a6] |
Generators |
[216:1280:1] [226:1690:1] |
Generators of the group modulo torsion |
j |
-389160900739729/817438668800 |
j-invariant |
L |
7.1343870743806 |
L(r)(E,1)/r! |
Ω |
0.17924656748623 |
Real period |
R |
0.99505211932841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590e1 |
Quadratic twists by: -4 |