Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525bc |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-54591796875 = -1 · 3 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ -6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,917,-3807] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1371:8] |
Generators of the group modulo torsion |
j |
32768/21 |
j-invariant |
L |
4.0133070098596 |
L(r)(E,1)/r! |
Ω |
0.64105679453992 |
Real period |
R |
1.5651136701652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525bz1 63525x1 |
Quadratic twists by: 5 -11 |