Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cw |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
29140477083648 = 216 · 33 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29004,1883408] |
[a1,a2,a3,a4,a6] |
j |
1524943337004/16468459 |
j-invariant |
L |
2.6632757429322 |
L(r)(E,1)/r! |
Ω |
0.66581893957031 |
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 |
76608w1 19152h1 76608cx1 |
Quadratic twists by: -4 8 -3 |