Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782i |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1254528 |
Modular degree for the optimal curve |
Δ |
175575576881926144 = 212 · 73 · 119 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-532483,148325205] |
[a1,a2,a3,a4,a6] |
Generators |
[518:3101:1] |
Generators of the group modulo torsion |
j |
7081206278427/74461184 |
j-invariant |
L |
2.4943169714174 |
L(r)(E,1)/r! |
Ω |
0.32240857962934 |
Real period |
R |
2.5788364350466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89782t1 |
Quadratic twists by: -11 |