Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600dp |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-81408000 = -1 · 212 · 3 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,-477] |
[a1,a2,a3,a4,a6] |
Generators |
[2052:11415:64] |
Generators of the group modulo torsion |
j |
-32768/159 |
j-invariant |
L |
8.9478817145769 |
L(r)(E,1)/r! |
Ω |
0.79863556717095 |
Real period |
R |
5.601980479018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3975g1 63600ci1 |
Quadratic twists by: -4 5 |