Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698bk |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
16144128 |
Modular degree for the optimal curve |
Δ |
-1.0384607564987E+27 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61557239,1561553461711] |
[a1,a2,a3,a4,a6] |
Generators |
[4573:1170602:1] |
Generators of the group modulo torsion |
j |
-35386171200283737225381417/1424500351850019530211328 |
j-invariant |
L |
10.639226344621 |
L(r)(E,1)/r! |
Ω |
0.040933107595158 |
Real period |
R |
0.56259174552107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522b1 |
Quadratic twists by: -3 |