Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064k |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
251904 |
Modular degree for the optimal curve |
Δ |
11664561209344 = 216 · 192 · 793 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 6 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45025,3688673] |
[a1,a2,a3,a4,a6] |
Generators |
[49:1264:1] |
Generators of the group modulo torsion |
j |
154033289982436/177987079 |
j-invariant |
L |
4.506064032949 |
L(r)(E,1)/r! |
Ω |
0.71311164798899 |
Real period |
R |
0.26328649702197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96064p1 12008b1 |
Quadratic twists by: -4 8 |