Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19404z |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-891335047491504 = -1 · 24 · 316 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34104,2817745] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:2205:1] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
5.7186692250962 |
L(r)(E,1)/r! |
Ω |
0.47765461616085 |
Real period |
R |
1.995398987613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616fi1 6468m1 396a1 |
Quadratic twists by: -4 -3 -7 |