Atkin-Lehner |
2+ 3- 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270g |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
5523049800 = 23 · 39 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1665,26325] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:195:1] [15:60:1] |
Generators of the group modulo torsion |
j |
700463661841/7576200 |
j-invariant |
L |
8.9148483004247 |
L(r)(E,1)/r! |
Ω |
1.3600236618903 |
Real period |
R |
0.8193651831973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42090x1 |
Quadratic twists by: -3 |