Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850k |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
1436902400000000 = 216 · 58 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-394688,-95586719] |
[a1,a2,a3,a4,a6] |
Generators |
[-9825:8399:27] |
Generators of the group modulo torsion |
j |
435176587336793401/91961753600 |
j-invariant |
L |
16.030154977929 |
L(r)(E,1)/r! |
Ω |
0.19047657599869 |
Real period |
R |
2.6299419780263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170e1 |
Quadratic twists by: 5 |