Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150bs |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6963200 |
Modular degree for the optimal curve |
Δ |
2.66814559872E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3975867,-2947442459] |
[a1,a2,a3,a4,a6] |
Generators |
[-1027:7709:1] |
Generators of the group modulo torsion |
j |
4881595054357853/187392393216 |
j-invariant |
L |
3.447830875067 |
L(r)(E,1)/r! |
Ω |
0.10716849005157 |
Real period |
R |
4.0215072372681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050bo1 129150dw1 |
Quadratic twists by: -3 5 |