Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480i |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
3817021838400 = 26 · 312 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54273,4865672] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:3080:1] |
Generators of the group modulo torsion |
j |
378937595364544/81812025 |
j-invariant |
L |
6.8566867406757 |
L(r)(E,1)/r! |
Ω |
0.76408127388929 |
Real period |
R |
4.486883121184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96480e1 32160s1 |
Quadratic twists by: -4 -3 |