Atkin-Lehner |
2- 3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bq |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
191750328 = 23 · 36 · 72 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-331] |
[a1,a2,a3,a4,a6] |
j |
594823321/263032 |
j-invariant |
L |
8.420646220373 |
L(r)(E,1)/r! |
Ω |
1.40344103771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394b1 |
Quadratic twists by: -3 |