Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bd |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
316502179840000000 = 230 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2024323,1108251522] |
[a1,a2,a3,a4,a6] |
Generators |
[3199:165438:1] |
Generators of the group modulo torsion |
j |
652993822364173263/225280000000 |
j-invariant |
L |
3.7903077835829 |
L(r)(E,1)/r! |
Ω |
0.29974117428156 |
Real period |
R |
6.3226345073527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390g1 43120ck1 |
Quadratic twists by: -4 -7 |