Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800bp |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2927808600000000 = 29 · 3 · 58 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38408,1284312] |
[a1,a2,a3,a4,a6] |
j |
783267508232/365976075 |
j-invariant |
L |
0.80710888731156 |
L(r)(E,1)/r! |
Ω |
0.40355424608392 |
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 |
112800bd3 22560g3 |
Quadratic twists by: -4 5 |