Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075c |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1113305681484375 = 3 · 57 · 416 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3362875,2372235250] |
[a1,a2,a3,a4,a6] |
Generators |
[4038834089070:-1723845804635:3811036328] |
Generators of the group modulo torsion |
j |
56667352321/15 |
j-invariant |
L |
6.7307848942061 |
L(r)(E,1)/r! |
Ω |
0.39128943884485 |
Real period |
R |
17.201550060375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25215h4 75b4 |
Quadratic twists by: 5 41 |