Atkin-Lehner |
2- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998t |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-80718553481216 = -1 · 216 · 76 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 1 1 7- 3 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17690,-1004956] |
[a1,a2,a3,a4,a6] |
Generators |
[200:1762:1] |
Generators of the group modulo torsion |
j |
-5203798902289/686096384 |
j-invariant |
L |
13.13290170228 |
L(r)(E,1)/r! |
Ω |
0.20547417913316 |
Real period |
R |
0.99867336112096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1102c1 |
Quadratic twists by: -7 |