Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dz |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5033154553885753344 = 226 · 310 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-664716,178495760] |
[a1,a2,a3,a4,a6] |
Generators |
[-24864:83996:27] |
Generators of the group modulo torsion |
j |
169967019783457/26337394944 |
j-invariant |
L |
6.6610390423116 |
L(r)(E,1)/r! |
Ω |
0.23241460730471 |
Real period |
R |
7.1650391479278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000414 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92736co2 23184bi2 30912bk2 |
Quadratic twists by: -4 8 -3 |