Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560ca |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-163332186439680 = -1 · 218 · 32 · 5 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10399,-463359] |
[a1,a2,a3,a4,a6] |
j |
474369503399/623062845 |
j-invariant |
L |
1.2258340010743 |
L(r)(E,1)/r! |
Ω |
0.30645850026378 |
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 |
58560x3 14640bj4 |
Quadratic twists by: -4 8 |