Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560p |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-24690769920 = -1 · 214 · 34 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-625,-9455] |
[a1,a2,a3,a4,a6] |
j |
-1650587344/1507005 |
j-invariant |
L |
1.839940681555 |
L(r)(E,1)/r! |
Ω |
0.45998516938603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560dx2 3660f2 |
Quadratic twists by: -4 8 |