Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14355c |
Isogeny class |
Conductor |
14355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-5813775 = -1 · 36 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16:60:1] |
Generators of the group modulo torsion |
j |
13651919/7975 |
j-invariant |
L |
4.3152892052164 |
L(r)(E,1)/r! |
Ω |
1.4505742729667 |
Real period |
R |
2.9748833173436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1595c1 71775z1 |
Quadratic twists by: -3 5 |