Atkin-Lehner |
2- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
21488d |
Isogeny class |
Conductor |
21488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
5844736 = 28 · 172 · 79 |
Discriminant |
Eigenvalues |
2- 1 3 1 2 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-244,1384] |
[a1,a2,a3,a4,a6] |
j |
6301325392/22831 |
j-invariant |
L |
4.8155062164136 |
L(r)(E,1)/r! |
Ω |
2.4077531082068 |
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 |
5372a1 85952o1 |
Quadratic twists by: -4 8 |