Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ek |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11211928875000 = 23 · 310 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1181174405,15625263950597] |
[a1,a2,a3,a4,a6] |
Generators |
[19845:-9374:1] |
Generators of the group modulo torsion |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
9.9046158964128 |
L(r)(E,1)/r! |
Ω |
0.18130363500116 |
Real period |
R |
2.2762496082202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000084995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550bc6 3906h5 |
Quadratic twists by: -3 5 |