Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400gy |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
249600000000000000 = 220 · 3 · 514 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1352033,-605075937] |
[a1,a2,a3,a4,a6] |
j |
66730743078481/60937500 |
j-invariant |
L |
4.4805001097412 |
L(r)(E,1)/r! |
Ω |
0.1400156284946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400z4 15600z3 12480bl3 |
Quadratic twists by: -4 8 5 |