Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244x |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-902302132916016 = -1 · 24 · 39 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24108,113533] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1372:1] |
Generators of the group modulo torsion |
j |
1129201664/657531 |
j-invariant |
L |
8.9156790711501 |
L(r)(E,1)/r! |
Ω |
0.30054760379035 |
Real period |
R |
1.8540488543743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748n1 17892g1 |
Quadratic twists by: -3 -7 |