Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640ce |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-25686031564800 = -1 · 215 · 312 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3455,229825] |
[a1,a2,a3,a4,a6] |
Generators |
[595:14580:1] |
Generators of the group modulo torsion |
j |
139152888568/783875475 |
j-invariant |
L |
6.4429866298327 |
L(r)(E,1)/r! |
Ω |
0.48382949902859 |
Real period |
R |
1.6645808706815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640dc1 28320w1 |
Quadratic twists by: -4 8 |