Atkin-Lehner |
3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815f |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
600240 |
Modular degree for the optimal curve |
Δ |
-14378048474796075 = -1 · 3 · 52 · 618 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 0 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-75660,-9846352] |
[a1,a2,a3,a4,a6] |
j |
-249856/75 |
j-invariant |
L |
0.85045034892419 |
L(r)(E,1)/r! |
Ω |
0.14174172573127 |
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 |
55815e1 |
Quadratic twists by: 61 |