Atkin-Lehner |
2- 5+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050n |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-1868414500000 = -1 · 25 · 56 · 433 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5013,149531] |
[a1,a2,a3,a4,a6] |
Generators |
[75:412:1] |
Generators of the group modulo torsion |
j |
-891666015625/119578528 |
j-invariant |
L |
15.887623101855 |
L(r)(E,1)/r! |
Ω |
0.80750343400217 |
Real period |
R |
1.9674991389704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4042a1 |
Quadratic twists by: 5 |