Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020r |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-44870533892550000 = -1 · 24 · 37 · 55 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16473,10223953] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:2601:1] |
Generators of the group modulo torsion |
j |
-1755904/159375 |
j-invariant |
L |
6.0250870037624 |
L(r)(E,1)/r! |
Ω |
0.29591867567281 |
Real period |
R |
0.84835906775346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340p1 3060o1 |
Quadratic twists by: -3 17 |