Atkin-Lehner |
2- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150bg |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
128480000 = 28 · 54 · 11 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11+ -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138,292] |
[a1,a2,a3,a4,a6] |
Generators |
[12:14:1] [-8:34:1] |
Generators of the group modulo torsion |
j |
465240625/205568 |
j-invariant |
L |
9.0565090655861 |
L(r)(E,1)/r! |
Ω |
1.666585616687 |
Real period |
R |
0.22642373762323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150a1 |
Quadratic twists by: 5 |