Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892bg |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-10707271255296 = -1 · 28 · 35 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3708,132516] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-294:1] |
Generators of the group modulo torsion |
j |
187153328/355509 |
j-invariant |
L |
4.785750761856 |
L(r)(E,1)/r! |
Ω |
0.49645459630788 |
Real period |
R |
0.16066426388374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556d1 |
Quadratic twists by: -7 |