Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648y |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
4841275392 = 220 · 35 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6113,185985] |
[a1,a2,a3,a4,a6] |
Generators |
[43:28:1] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
2.7658480616662 |
L(r)(E,1)/r! |
Ω |
1.3291710300623 |
Real period |
R |
2.0808819926933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3648j1 912h1 10944cj1 91200il1 |
Quadratic twists by: -4 8 -3 5 |