Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cb |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
11227725044121600 = 218 · 38 · 52 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122736,-15786540] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:630:1] |
Generators of the group modulo torsion |
j |
49920991080953329/2741143809600 |
j-invariant |
L |
5.1157303308345 |
L(r)(E,1)/r! |
Ω |
0.2559408389104 |
Real period |
R |
1.2492463005299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847941 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330r2 |
Quadratic twists by: -4 |