Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176bx |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1001472 |
Modular degree for the optimal curve |
Δ |
-163849672567808 = -1 · 210 · 234 · 833 |
Discriminant |
Eigenvalues |
2- -1 -4 -5 -5 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30445,2145581] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1909:1] [109:332:1] |
Generators of the group modulo torsion |
j |
-3047796426164224/160009445867 |
j-invariant |
L |
3.6132094165086 |
L(r)(E,1)/r! |
Ω |
0.56731127329431 |
Real period |
R |
0.26537528686472 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000030718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176a1 30544e1 |
Quadratic twists by: -4 8 |