Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064ba |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-446891588809156608 = -1 · 211 · 3 · 139 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 1 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95936,30092960] |
[a1,a2,a3,a4,a6] |
Generators |
[84104:3631641:512] |
Generators of the group modulo torsion |
j |
4496182/20577 |
j-invariant |
L |
5.9683581220953 |
L(r)(E,1)/r! |
Ω |
0.21287445391472 |
Real period |
R |
4.6728310304558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77064j1 |
Quadratic twists by: 13 |