Atkin-Lehner |
3- 5- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73935n |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
-1018541123173828125 = -1 · 36 · 510 · 312 · 533 |
Discriminant |
Eigenvalues |
1 3- 5- 4 2 -3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-300969,80054158] |
[a1,a2,a3,a4,a6] |
Generators |
[42:8194:1] |
Generators of the group modulo torsion |
j |
-4135826307201041809/1397175751953125 |
j-invariant |
L |
9.4265464276064 |
L(r)(E,1)/r! |
Ω |
0.26163675896197 |
Real period |
R |
0.60048560354157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8215a1 |
Quadratic twists by: -3 |