Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328g |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-13423491072 = -1 · 211 · 311 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 -3 -5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1803,-29990] |
[a1,a2,a3,a4,a6] |
Generators |
[95:810:1] |
Generators of the group modulo torsion |
j |
-434163602/8991 |
j-invariant |
L |
4.7393026425463 |
L(r)(E,1)/r! |
Ω |
0.36587938652795 |
Real period |
R |
1.6191478725819 |
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 |
2664h1 21312bv1 1776d1 |
Quadratic twists by: -4 8 -3 |