Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525r |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-742112147109375 = -1 · 310 · 57 · 74 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31505,-2512128] |
[a1,a2,a3,a4,a6] |
Generators |
[1942:15225:8] |
Generators of the group modulo torsion |
j |
-303599943361/65151135 |
j-invariant |
L |
4.2958262934823 |
L(r)(E,1)/r! |
Ω |
0.17714061702523 |
Real period |
R |
3.0313673821475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999661348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175c1 21105e1 |
Quadratic twists by: -3 5 |