Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bk |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6224981904240000000 = 210 · 3 · 57 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1090008,-421612512] |
[a1,a2,a3,a4,a6] |
Generators |
[8308391:-489066150:2197] |
Generators of the group modulo torsion |
j |
5052857764/219615 |
j-invariant |
L |
7.0552039668568 |
L(r)(E,1)/r! |
Ω |
0.14815188211716 |
Real period |
R |
11.90535662743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520be3 6600bc3 |
Quadratic twists by: 5 -11 |