Atkin-Lehner |
2+ 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240n |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
609444000000 = 28 · 36 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10407,406906] |
[a1,a2,a3,a4,a6] |
Generators |
[87:400:1] |
Generators of the group modulo torsion |
j |
667932971344/3265625 |
j-invariant |
L |
7.6536277286038 |
L(r)(E,1)/r! |
Ω |
0.91993975069778 |
Real period |
R |
1.3866175696294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360k2 |
Quadratic twists by: -3 |