Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hh |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-1442663916503040000 = -1 · 220 · 35 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,201080,46273268] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:4410:1] |
Generators of the group modulo torsion |
j |
1865864036231/2993760000 |
j-invariant |
L |
10.198846198832 |
L(r)(E,1)/r! |
Ω |
0.18370771263852 |
Real period |
R |
0.69395875726941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170p1 18480bu1 |
Quadratic twists by: -4 -7 |