Atkin-Lehner |
2+ 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bd |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2445456239641350 = 2 · 320 · 52 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-193869,-32721017] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:419:1] [627:9274:1] |
Generators of the group modulo torsion |
j |
1105407875472992209/3354535308150 |
j-invariant |
L |
9.0003283883615 |
L(r)(E,1)/r! |
Ω |
0.22756296598649 |
Real period |
R |
9.8877340937899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370w2 |
Quadratic twists by: -3 |