Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720bh |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
38688000 = 28 · 3 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341,-2295] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2:1] |
Generators of the group modulo torsion |
j |
17179869184/151125 |
j-invariant |
L |
2.7999580824747 |
L(r)(E,1)/r! |
Ω |
1.1113104190783 |
Real period |
R |
1.259755170531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999962417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180d1 |
Quadratic twists by: -4 |