Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104cw |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
-164374021840896 = -1 · 213 · 35 · 75 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13832,874356] |
[a1,a2,a3,a4,a6] |
Generators |
[742:19992:1] [-125:816:1] |
Generators of the group modulo torsion |
j |
-14544652121/8168202 |
j-invariant |
L |
11.234463890576 |
L(r)(E,1)/r! |
Ω |
0.5328339814959 |
Real period |
R |
0.10542180379596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138d2 97104bo2 |
Quadratic twists by: -4 17 |