Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336bk |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
953004433970036736 = 219 · 36 · 196 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-640632,-191904300] |
[a1,a2,a3,a4,a6] |
Generators |
[-872508:-418950:2197] |
Generators of the group modulo torsion |
j |
7098888037214401273/232667098137216 |
j-invariant |
L |
9.1209717968819 |
L(r)(E,1)/r! |
Ω |
0.16909068267395 |
Real period |
R |
8.9902172142291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6042b2 |
Quadratic twists by: -4 |