Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bd |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-167856624 = -1 · 24 · 39 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 6 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,-621] |
[a1,a2,a3,a4,a6] |
Generators |
[34:199:1] |
Generators of the group modulo torsion |
j |
6912/533 |
j-invariant |
L |
6.3443186074751 |
L(r)(E,1)/r! |
Ω |
0.86256607297417 |
Real period |
R |
3.6775841326703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188e1 76752v1 |
Quadratic twists by: -4 -3 |