Atkin-Lehner |
2+ 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720s |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5756774400 = -1 · 211 · 32 · 52 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,400,2100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:36:1] |
Generators of the group modulo torsion |
j |
3447367198/2810925 |
j-invariant |
L |
9.3949993927614 |
L(r)(E,1)/r! |
Ω |
0.87140360587443 |
Real period |
R |
1.3476819646585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48360r2 |
Quadratic twists by: -4 |