Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150bo |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-32890880000 = -1 · 216 · 54 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1813,30817] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-73:1] |
Generators of the group modulo torsion |
j |
-1054513341025/52625408 |
j-invariant |
L |
11.142214332931 |
L(r)(E,1)/r! |
Ω |
1.1542638286741 |
Real period |
R |
0.60331821764542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150e1 |
Quadratic twists by: 5 |