Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344et |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-154472694092660736 = -1 · 218 · 320 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -2 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43212,-19223152] |
[a1,a2,a3,a4,a6] |
Generators |
[941754208:167438101572:29791] |
Generators of the group modulo torsion |
j |
-276301129/4782969 |
j-invariant |
L |
8.6170623892048 |
L(r)(E,1)/r! |
Ω |
0.13949680608508 |
Real period |
R |
15.443117717637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344be2 24336bm2 32448cc2 97344ey2 |
Quadratic twists by: -4 8 -3 13 |