Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gi |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7800422400000000 = 222 · 32 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148033,21555937] |
[a1,a2,a3,a4,a6] |
Generators |
[-293:6300:1] |
Generators of the group modulo torsion |
j |
87587538121/1904400 |
j-invariant |
L |
5.8060981132039 |
L(r)(E,1)/r! |
Ω |
0.41580709724788 |
Real period |
R |
3.490860410351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999598724 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400cw2 27600cw2 22080cm2 |
Quadratic twists by: -4 8 5 |