Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fb |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
9213648540339600 = 24 · 39 · 52 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2464538,1489803081] |
[a1,a2,a3,a4,a6] |
Generators |
[611:14247:1] |
Generators of the group modulo torsion |
j |
19302534392242249/107427600 |
j-invariant |
L |
11.449550955878 |
L(r)(E,1)/r! |
Ω |
0.36449556668651 |
Real period |
R |
1.9632527726822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630o1 18270ca1 |
Quadratic twists by: -3 -7 |