Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bx |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2390400000000 = 213 · 32 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-354008,-80953488] |
[a1,a2,a3,a4,a6] |
Generators |
[3332:189000:1] |
Generators of the group modulo torsion |
j |
76662714770641/37350 |
j-invariant |
L |
5.7720286819446 |
L(r)(E,1)/r! |
Ω |
0.19572495235669 |
Real period |
R |
3.6863137552573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450e2 19920p2 |
Quadratic twists by: -4 5 |