Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150cl |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-175600800 = -1 · 25 · 32 · 52 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3,-639] |
[a1,a2,a3,a4,a6] |
Generators |
[31:158:1] |
Generators of the group modulo torsion |
j |
-5/288 |
j-invariant |
L |
9.054015043159 |
L(r)(E,1)/r! |
Ω |
0.82437647297209 |
Real period |
R |
0.54914323055068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998365383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150bt1 126150bn1 |
Quadratic twists by: 5 29 |