Atkin-Lehner |
3+ 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23055f |
Isogeny class |
Conductor |
23055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
136636079985 = 36 · 5 · 294 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4305,105462] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:153:1] [-250:3793:8] |
Generators of the group modulo torsion |
j |
8823674615832721/136636079985 |
j-invariant |
L |
4.6238032758946 |
L(r)(E,1)/r! |
Ω |
1.038831796807 |
Real period |
R |
8.9019286666163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69165h1 115275p1 |
Quadratic twists by: -3 5 |