Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320j |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-63124275200 = -1 · 223 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9121,332479] |
[a1,a2,a3,a4,a6] |
Generators |
[99:640:1] |
Generators of the group modulo torsion |
j |
-320153881321/240800 |
j-invariant |
L |
5.3081551332368 |
L(r)(E,1)/r! |
Ω |
1.096307788196 |
Real period |
R |
0.60523093819333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320bg1 3010c1 |
Quadratic twists by: -4 8 |