Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775q |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
407098828125 = 33 · 58 · 113 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12750,553281] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1248:1] |
Generators of the group modulo torsion |
j |
21733539840/38599 |
j-invariant |
L |
6.0660250339543 |
L(r)(E,1)/r! |
Ω |
0.94682667933737 |
Real period |
R |
3.2033450079002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001237 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71775n2 71775f1 |
Quadratic twists by: -3 5 |