Atkin-Lehner |
2+ 3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110z |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3449119785698597400 = 23 · 316 · 52 · 136 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-696699,-205045907] |
[a1,a2,a3,a4,a6] |
j |
51301740077372365489/4731302861040600 |
j-invariant |
L |
2.659594638823 |
L(r)(E,1)/r! |
Ω |
0.16622465889477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370r2 |
Quadratic twists by: -3 |