Atkin-Lehner |
2- 3- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650dj |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38976 |
Modular degree for the optimal curve |
Δ |
-4934250 = -1 · 2 · 33 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 -7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,42,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[6:27:8] |
Generators of the group modulo torsion |
j |
65450827/39474 |
j-invariant |
L |
14.872455177553 |
L(r)(E,1)/r! |
Ω |
1.4137346961845 |
Real period |
R |
1.7533293424529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650n1 |
Quadratic twists by: 5 |