Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ej |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4875264000000 = 216 · 32 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18433,951263] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1008:1] |
Generators of the group modulo torsion |
j |
676449508/4761 |
j-invariant |
L |
10.940897700536 |
L(r)(E,1)/r! |
Ω |
0.77365471045091 |
Real period |
R |
3.5354588897154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005484 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400gd2 13800i2 4416e2 |
Quadratic twists by: -4 8 5 |