Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ej |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1017378731250000 = 24 · 37 · 58 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44640230,-114787744603] |
[a1,a2,a3,a4,a6] |
Generators |
[33199:5898925:1] |
Generators of the group modulo torsion |
j |
863685084022485007249/89317200 |
j-invariant |
L |
12.045912603373 |
L(r)(E,1)/r! |
Ω |
0.058407410148678 |
Real period |
R |
6.4449830571261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550bd4 19530ba3 |
Quadratic twists by: -3 5 |