Atkin-Lehner |
2- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4510g |
Isogeny class |
Conductor |
4510 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
196892168000 = 26 · 53 · 114 · 412 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42770,3400900] |
[a1,a2,a3,a4,a6] |
Generators |
[130:140:1] |
Generators of the group modulo torsion |
j |
8652509753714779681/196892168000 |
j-invariant |
L |
3.8985498572541 |
L(r)(E,1)/r! |
Ω |
0.92984302578302 |
Real period |
R |
0.2329275987185 |
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 |
36080v2 40590r2 22550a2 49610o2 |
Quadratic twists by: -4 -3 5 -11 |