Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525cn |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-12106276875 = -1 · 33 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -5 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,5292] |
[a1,a2,a3,a4,a6] |
Generators |
[21:105:1] |
Generators of the group modulo torsion |
j |
-3025/1323 |
j-invariant |
L |
4.8967940692998 |
L(r)(E,1)/r! |
Ω |
1.0290357494966 |
Real period |
R |
0.26436799219347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525g1 63525ce1 |
Quadratic twists by: 5 -11 |