Atkin-Lehner |
3+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21321b |
Isogeny class |
Conductor |
21321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
46629027 = 39 · 23 · 103 |
Discriminant |
Eigenvalues |
1 3+ 0 5 -1 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177,-802] |
[a1,a2,a3,a4,a6] |
j |
31255875/2369 |
j-invariant |
L |
2.6296534833969 |
L(r)(E,1)/r! |
Ω |
1.3148267416985 |
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 |
21321a1 |
Quadratic twists by: -3 |