Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gl |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-91745244864 = -1 · 26 · 38 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1122,-1766] |
[a1,a2,a3,a4,a6] |
Generators |
[5:63:1] |
Generators of the group modulo torsion |
j |
3348071936/1966419 |
j-invariant |
L |
5.7415088565716 |
L(r)(E,1)/r! |
Ω |
0.62978471139246 |
Real period |
R |
0.91166215259133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416fe1 26208p1 17472cz1 |
Quadratic twists by: -4 8 -3 |