Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850cm |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
21772800 |
Modular degree for the optimal curve |
Δ |
-1.1603839989612E+21 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -3 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26817930,-53473125303] |
[a1,a2,a3,a4,a6] |
Generators |
[851695:34947827:125] |
Generators of the group modulo torsion |
j |
-1856569331248425/1009981568 |
j-invariant |
L |
5.4788387522967 |
L(r)(E,1)/r! |
Ω |
0.033170275335069 |
Real period |
R |
5.8990406606954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000493374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bj1 2650k1 |
Quadratic twists by: 5 -7 |