Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928et |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-11405407813632 = -1 · 219 · 37 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 5 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24204,1458448] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2016:1] |
Generators of the group modulo torsion |
j |
-8205738913/59682 |
j-invariant |
L |
9.1426984807287 |
L(r)(E,1)/r! |
Ω |
0.72075870077717 |
Real period |
R |
0.52853440139549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928bm1 29232bq1 38976by1 |
Quadratic twists by: -4 8 -3 |