Atkin-Lehner |
2- 3- 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25806k |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3328525563951200448 = 26 · 3 · 118 · 172 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-457292,-80425008] |
[a1,a2,a3,a4,a6] |
Generators |
[-5208:23764:27] |
Generators of the group modulo torsion |
j |
10575589446946530654913/3328525563951200448 |
j-invariant |
L |
9.9393918055962 |
L(r)(E,1)/r! |
Ω |
0.18813424106417 |
Real period |
R |
4.402615099629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77418m3 |
Quadratic twists by: -3 |