Atkin-Lehner |
2- 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150bl |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
607268750000 = 24 · 58 · 113 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41138,3207892] |
[a1,a2,a3,a4,a6] |
Generators |
[52:1074:1] [-102:2570:1] |
Generators of the group modulo torsion |
j |
19710328332865/1554608 |
j-invariant |
L |
9.3114772279178 |
L(r)(E,1)/r! |
Ω |
0.8726122375769 |
Real period |
R |
0.29641132003616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150f1 |
Quadratic twists by: 5 |