Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168v |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9398590066944 = 28 · 32 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15124,-695516] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:104:1] |
Generators of the group modulo torsion |
j |
61918288/1521 |
j-invariant |
L |
3.638374662895 |
L(r)(E,1)/r! |
Ω |
0.43115237630278 |
Real period |
R |
2.1096802819411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881896 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
312c2 |
Quadratic twists by: 17 |