Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560dr |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2023833600 = 214 · 34 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1361,-19665] |
[a1,a2,a3,a4,a6] |
j |
17029316176/123525 |
j-invariant |
L |
3.1452727611346 |
L(r)(E,1)/r! |
Ω |
0.78631819038278 |
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 |
58560i2 14640c2 |
Quadratic twists by: -4 8 |