Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080bn |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
-5569046784000 = -1 · 211 · 37 · 53 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58827,-5492954] |
[a1,a2,a3,a4,a6] |
Generators |
[302:2070:1] |
Generators of the group modulo torsion |
j |
-15079826167058/3730125 |
j-invariant |
L |
6.7045307525702 |
L(r)(E,1)/r! |
Ω |
0.15327415802901 |
Real period |
R |
3.6451734798247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360k1 |
Quadratic twists by: -3 |