Atkin-Lehner |
5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9425f |
Isogeny class |
Conductor |
9425 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
21030267578125 = 59 · 135 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ -3 -4 13- 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10283,338718] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:812:1] |
Generators of the group modulo torsion |
j |
7696715382784/1345937125 |
j-invariant |
L |
1.9630171416475 |
L(r)(E,1)/r! |
Ω |
0.64933332219633 |
Real period |
R |
0.15115635333543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84825q1 1885c1 122525g1 |
Quadratic twists by: -3 5 13 |