Atkin-Lehner |
3+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28275b |
Isogeny class |
Conductor |
28275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-796036070654296875 = -1 · 39 · 511 · 134 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1433383,662399793] |
[a1,a2,a3,a4,a6] |
j |
-20844464253240180736/50946308521875 |
j-invariant |
L |
1.1350380698447 |
L(r)(E,1)/r! |
Ω |
0.28375951746101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84825j1 5655g1 |
Quadratic twists by: -3 5 |