Atkin-Lehner |
3+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21879a |
Isogeny class |
Conductor |
21879 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-165361739012613 = -1 · 39 · 113 · 135 · 17 |
Discriminant |
Eigenvalues |
1 3+ -4 5 11+ 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,618929] |
[a1,a2,a3,a4,a6] |
j |
-2315685267/8401246711 |
j-invariant |
L |
0.92097493305319 |
L(r)(E,1)/r! |
Ω |
0.4604874665266 |
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 |
21879d1 |
Quadratic twists by: -3 |