Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400m |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
14283000000 = 26 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,4662] |
[a1,a2,a3,a4,a6] |
Generators |
[23:4:1] |
Generators of the group modulo torsion |
j |
39304000/14283 |
j-invariant |
L |
3.8509199024537 |
L(r)(E,1)/r! |
Ω |
1.1455374265347 |
Real period |
R |
3.3616709455145 |
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 |
110400dw1 55200cf2 4416j1 |
Quadratic twists by: -4 8 5 |