Atkin-Lehner |
5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40535g |
Isogeny class |
Conductor |
40535 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840000 |
Modular degree for the optimal curve |
Δ |
-9.9387651758114E+21 |
Discriminant |
Eigenvalues |
-2 -2 5+ 2 11- 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2359944,-4588248450] |
[a1,a2,a3,a4,a6] |
Generators |
[552504:410681562:1] |
Generators of the group modulo torsion |
j |
820488521674059776/5610173838671875 |
j-invariant |
L |
1.9559963596047 |
L(r)(E,1)/r! |
Ω |
0.064280820005041 |
Real period |
R |
7.6072316728764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3685a1 |
Quadratic twists by: -11 |