Atkin-Lehner |
2+ 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350y |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
69376543211250000 = 24 · 32 · 57 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136901,-14827552] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1039:1] |
Generators of the group modulo torsion |
j |
18160131429546049/4440098765520 |
j-invariant |
L |
6.9257937442959 |
L(r)(E,1)/r! |
Ω |
0.2526251672189 |
Real period |
R |
1.1423040021742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470u2 |
Quadratic twists by: 5 |