Atkin-Lehner |
2+ 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
53560c |
Isogeny class |
Conductor |
53560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18646378400000000 = 211 · 58 · 133 · 1032 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72280,-3551028] |
[a1,a2,a3,a4,a6] |
j |
20391736001822642/9104676953125 |
j-invariant |
L |
3.6423019035844 |
L(r)(E,1)/r! |
Ω |
0.30352515864223 |
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 |
107120g2 |
Quadratic twists by: -4 |