Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152bi |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-947598249701376 = -1 · 212 · 32 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24435,171333] |
[a1,a2,a3,a4,a6] |
j |
3348071936/1966419 |
j-invariant |
L |
2.4082864055322 |
L(r)(E,1)/r! |
Ω |
0.3010358007398 |
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 |
61152by1 122304hd1 8736u1 |
Quadratic twists by: -4 8 -7 |