Atkin-Lehner |
2+ 3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266r |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1769384153124 = 22 · 310 · 72 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8748,-306180] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:108:1] |
Generators of the group modulo torsion |
j |
101566487155393/2427138756 |
j-invariant |
L |
2.516678850222 |
L(r)(E,1)/r! |
Ω |
0.49437030327952 |
Real period |
R |
1.2726689050315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16422u2 |
Quadratic twists by: -3 |