Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525ci |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
3369727139625 = 310 · 53 · 73 · 113 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4848,94887] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-285:1] [-67:380:1] |
Generators of the group modulo torsion |
j |
75740658391/20253807 |
j-invariant |
L |
8.1048699466234 |
L(r)(E,1)/r! |
Ω |
0.74128894368277 |
Real period |
R |
0.36444942806281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63525y1 63525ca1 |
Quadratic twists by: 5 -11 |