Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330q |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-110585786220 = -1 · 22 · 311 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-16304] |
[a1,a2,a3,a4,a6] |
Generators |
[32:20:1] |
Generators of the group modulo torsion |
j |
-5764801/63180 |
j-invariant |
L |
4.4363752533004 |
L(r)(E,1)/r! |
Ω |
0.4486293627267 |
Real period |
R |
2.4721828428081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110bx1 57330cn1 |
Quadratic twists by: -3 -7 |