Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162m |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-11097058104 = -1 · 23 · 33 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 11- -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17628,-896472] |
[a1,a2,a3,a4,a6] |
Generators |
[176910:1135581:1000] |
Generators of the group modulo torsion |
j |
-12665630691/232 |
j-invariant |
L |
5.9602351855855 |
L(r)(E,1)/r! |
Ω |
0.20716537307215 |
Real period |
R |
7.1926054740792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162bo2 522h1 |
Quadratic twists by: -3 -11 |