Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21160b |
Isogeny class |
Conductor |
21160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
2505951528992000 = 28 · 53 · 238 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 3 -2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48668,-3358092] |
[a1,a2,a3,a4,a6] |
j |
635904/125 |
j-invariant |
L |
1.3033546310112 |
L(r)(E,1)/r! |
Ω |
0.3258386577528 |
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 |
42320b1 105800s1 21160e1 |
Quadratic twists by: -4 5 -23 |