Atkin-Lehner |
2+ 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576d |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
4918102272 = 28 · 36 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -6 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8748,-317844] |
[a1,a2,a3,a4,a6] |
j |
289240906498000/19211337 |
j-invariant |
L |
2.9619055375995 |
L(r)(E,1)/r! |
Ω |
0.49365092474102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288c1 |
Quadratic twists by: -4 |