Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960n |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-292579953292800 = -1 · 29 · 318 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7773,-779546] |
[a1,a2,a3,a4,a6] |
Generators |
[65:18:1] |
Generators of the group modulo torsion |
j |
139152888568/783875475 |
j-invariant |
L |
6.9569442585982 |
L(r)(E,1)/r! |
Ω |
0.27424073632018 |
Real period |
R |
3.1710023974276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960t1 28320w1 |
Quadratic twists by: -4 -3 |