Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bn |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
41036379342187500 = 22 · 314 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2922838,-1923555208] |
[a1,a2,a3,a4,a6] |
Generators |
[-988:644:1] |
Generators of the group modulo torsion |
j |
176733114283442193049/2626328277900 |
j-invariant |
L |
12.269184036392 |
L(r)(E,1)/r! |
Ω |
0.11546457328009 |
Real period |
R |
1.8974873924877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690d2 |
Quadratic twists by: 5 |