Atkin-Lehner |
3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4575f |
Isogeny class |
Conductor |
4575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
42890625 = 32 · 57 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1438,20867] |
[a1,a2,a3,a4,a6] |
Generators |
[31:64:1] |
Generators of the group modulo torsion |
j |
21047437081/2745 |
j-invariant |
L |
2.8907079355458 |
L(r)(E,1)/r! |
Ω |
1.9560372487204 |
Real period |
R |
2.9556777995275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73200bn1 13725g1 915b1 |
Quadratic twists by: -4 -3 5 |