Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400m |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1073088000000 = -1 · 212 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2167,30537] |
[a1,a2,a3,a4,a6] |
Generators |
[37:400:1] |
Generators of the group modulo torsion |
j |
17576000/16767 |
j-invariant |
L |
3.8509199024537 |
L(r)(E,1)/r! |
Ω |
0.57276871326734 |
Real period |
R |
1.6808354727572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400dw2 55200cf1 4416j2 |
Quadratic twists by: -4 8 5 |