Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424g |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
43876352 = 215 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 2 -2 1 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1704,-26512] |
[a1,a2,a3,a4,a6] |
j |
133667977897/10712 |
j-invariant |
L |
2.9721655761573 |
L(r)(E,1)/r! |
Ω |
0.74304139403933 |
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 |
2678b1 85696cc1 |
Quadratic twists by: -4 8 |