Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
5325m |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
168486328125 = 35 · 510 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 1 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6576,-204827] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:42:1] |
Generators of the group modulo torsion |
j |
3219690625/17253 |
j-invariant |
L |
5.2677641017106 |
L(r)(E,1)/r! |
Ω |
0.53034334509355 |
Real period |
R |
1.9865485823269 |
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 |
85200bo1 15975i1 5325f1 |
Quadratic twists by: -4 -3 5 |