Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cc |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.8244724984025E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51229121,-93525938079] |
[a1,a2,a3,a4,a6] |
j |
56719776559071967726321/18403902047738976000 |
j-invariant |
L |
0.23155036965373 |
L(r)(E,1)/r! |
Ω |
0.057887593032524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560z3 14640bl3 |
Quadratic twists by: -4 8 |