Atkin-Lehner |
2+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654h |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24216192 |
Modular degree for the optimal curve |
Δ |
-1.675910418948E+29 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-335144966,19837400780084] |
[a1,a2,a3,a4,a6] |
Generators |
[4255253761826857739858137:-9317327489899345303928573976:887944273406142679] |
Generators of the group modulo torsion |
j |
-35386171200283737225381417/1424500351850019530211328 |
j-invariant |
L |
4.237382598912 |
L(r)(E,1)/r! |
Ω |
0.026797009140655 |
Real period |
R |
39.53223451795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522b1 |
Quadratic twists by: -7 |