Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144u |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1187722099556352 = 217 · 312 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165240,25745364] |
[a1,a2,a3,a4,a6] |
Generators |
[294:-1632:1] |
Generators of the group modulo torsion |
j |
121818136413690361/289971215712 |
j-invariant |
L |
6.8232060046416 |
L(r)(E,1)/r! |
Ω |
0.4879829471511 |
Real period |
R |
0.58260283858816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018c2 |
Quadratic twists by: -4 |