Atkin-Lehner |
2- 3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25398k |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52249730724 = 22 · 38 · 172 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-986,4821] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:89:1] |
Generators of the group modulo torsion |
j |
145282709593/71673156 |
j-invariant |
L |
6.370462774866 |
L(r)(E,1)/r! |
Ω |
0.99646921974957 |
Real period |
R |
3.196517588605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8466e2 |
Quadratic twists by: -3 |