Atkin-Lehner |
2- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76096i |
Isogeny class |
Conductor |
76096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
144623796224 = 222 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45889,-3768351] |
[a1,a2,a3,a4,a6] |
Generators |
[257498841:5274570576:493039] |
Generators of the group modulo torsion |
j |
40767965189713/551696 |
j-invariant |
L |
8.3715629148778 |
L(r)(E,1)/r! |
Ω |
0.32619099702125 |
Real period |
R |
12.832302228386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76096b1 19024e1 |
Quadratic twists by: -4 8 |