Atkin-Lehner |
2- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4510g |
Isogeny class |
Conductor |
4510 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
317504000000 = 212 · 56 · 112 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2770,48900] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:280:1] |
Generators of the group modulo torsion |
j |
2350567993819681/317504000000 |
j-invariant |
L |
3.8985498572541 |
L(r)(E,1)/r! |
Ω |
0.92984302578302 |
Real period |
R |
0.11646379935925 |
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 |
36080v1 40590r1 22550a1 49610o1 |
Quadratic twists by: -4 -3 5 -11 |