Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968bu |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3677184 |
Modular degree for the optimal curve |
Δ |
-6.2559359675751E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 3 6 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1954815,584359364] |
[a1,a2,a3,a4,a6] |
j |
2888000/2187 |
j-invariant |
L |
3.3252535354881 |
L(r)(E,1)/r! |
Ω |
0.10391417906945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968u1 34656e1 103968h1 |
Quadratic twists by: -4 -3 -19 |