Atkin-Lehner |
2- 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110cl |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
2519628742566000000 = 27 · 312 · 56 · 134 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-403007,-62063769] |
[a1,a2,a3,a4,a6] |
Generators |
[1151:-32166:1] |
Generators of the group modulo torsion |
j |
9929627175387210409/3456280854000000 |
j-invariant |
L |
9.9248850489227 |
L(r)(E,1)/r! |
Ω |
0.19488361432968 |
Real period |
R |
0.30313834712229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370b2 |
Quadratic twists by: -3 |