Atkin-Lehner |
2- 3+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97008t |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
199820500581482496 = 226 · 36 · 432 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1379912,624004080] |
[a1,a2,a3,a4,a6] |
Generators |
[535693170:3642770250:912673] |
Generators of the group modulo torsion |
j |
70944421714660788553/48784301899776 |
j-invariant |
L |
7.8336444007962 |
L(r)(E,1)/r! |
Ω |
0.31458747718986 |
Real period |
R |
12.450661495875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028252 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12126c2 |
Quadratic twists by: -4 |