Atkin-Lehner |
2- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55216w |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-11774701568 = -1 · 212 · 73 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -4 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6069,-184093] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3451:1] |
Generators of the group modulo torsion |
j |
-6036521254912/2874683 |
j-invariant |
L |
4.7586986160306 |
L(r)(E,1)/r! |
Ω |
0.27044060959315 |
Real period |
R |
2.9326824739406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451d1 |
Quadratic twists by: -4 |