Atkin-Lehner |
2- 3+ 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918s |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
124721107160832 = 28 · 39 · 74 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2248346,-1297043495] |
[a1,a2,a3,a4,a6] |
j |
63858935768333876379/6336488704 |
j-invariant |
L |
3.9453338282986 |
L(r)(E,1)/r! |
Ω |
0.12329168438218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918c2 |
Quadratic twists by: -3 |