Atkin-Lehner |
3- 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
63135k |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
3883394390625 = 311 · 56 · 23 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63549,-6149520] |
[a1,a2,a3,a4,a6] |
Generators |
[3220:180510:1] |
Generators of the group modulo torsion |
j |
38933745953339089/5327015625 |
j-invariant |
L |
7.3260656989326 |
L(r)(E,1)/r! |
Ω |
0.30069459360216 |
Real period |
R |
8.121269725923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21045e1 |
Quadratic twists by: -3 |