Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ec |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1669030156190250000 = 24 · 310 · 56 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-467780,106421847] |
[a1,a2,a3,a4,a6] |
Generators |
[-541:14445:1] |
Generators of the group modulo torsion |
j |
993802845830257/146526652944 |
j-invariant |
L |
12.112479286216 |
L(r)(E,1)/r! |
Ω |
0.25527436120139 |
Real period |
R |
0.98851806919858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925551 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32550m2 3906g2 |
Quadratic twists by: -3 5 |