Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8460i |
Isogeny class |
Conductor |
8460 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
60549573600000 = 28 · 36 · 55 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63687,-6174866] |
[a1,a2,a3,a4,a6] |
j |
153076524671824/324446875 |
j-invariant |
L |
1.5028379891746 |
L(r)(E,1)/r! |
Ω |
0.30056759783492 |
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 |
33840cr1 940c1 42300u1 |
Quadratic twists by: -4 -3 5 |