Atkin-Lehner |
3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28275f |
Isogeny class |
Conductor |
28275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-420301248046875 = -1 · 39 · 59 · 13 · 292 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 5 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33033,2523593] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1087:1] |
Generators of the group modulo torsion |
j |
-255129621889024/26899279875 |
j-invariant |
L |
3.776457797635 |
L(r)(E,1)/r! |
Ω |
0.51719411757329 |
Real period |
R |
1.8254547322359 |
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 |
84825r1 5655e1 |
Quadratic twists by: -3 5 |