Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540v |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
446208 |
Modular degree for the optimal curve |
Δ |
-1461381078147120 = -1 · 24 · 320 · 5 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84828,9685717] |
[a1,a2,a3,a4,a6] |
Generators |
[163961:3036384:343] |
Generators of the group modulo torsion |
j |
-5787538382995456/125289872955 |
j-invariant |
L |
7.3349903482143 |
L(r)(E,1)/r! |
Ω |
0.47829779468594 |
Real period |
R |
7.6678069917313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24180k1 |
Quadratic twists by: -3 |