Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222w |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-1.7699798978324E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11- 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1519038,-20253924716] |
[a1,a2,a3,a4,a6] |
Generators |
[6668:512474:1] |
Generators of the group modulo torsion |
j |
-263762497/120434688 |
j-invariant |
L |
3.279364464801 |
L(r)(E,1)/r! |
Ω |
0.045546210551211 |
Real period |
R |
4.5000511913634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19074o1 57222o1 |
Quadratic twists by: -3 17 |