Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968a |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
406493565144579648 = 26 · 39 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 0 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185193,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-1313519608125:-72002499914700:21740999671] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
10.111488242077 |
L(r)(E,1)/r! |
Ω |
0.25279359969694 |
Real period |
R |
19.99949419024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968a1 103968bd1 103968bc1 |
Quadratic twists by: -4 -3 -19 |