Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800iu |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
332052537600000000 = 214 · 32 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-461008,117091988] |
[a1,a2,a3,a4,a6] |
j |
1439069689/44100 |
j-invariant |
L |
2.4236333186101 |
L(r)(E,1)/r! |
Ω |
0.30295416540749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7350bu2 11760bx2 8400bk2 |
Quadratic twists by: -4 5 -7 |