Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320bc |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1129211494400 = 222 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2736,21440] |
[a1,a2,a3,a4,a6] |
Generators |
[53:150:1] |
Generators of the group modulo torsion |
j |
553185473329/275686400 |
j-invariant |
L |
10.591288863606 |
L(r)(E,1)/r! |
Ω |
0.7701743564738 |
Real period |
R |
3.4379516703796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790g1 |
Quadratic twists by: -4 |