Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054d |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-40652918269961184 = -1 · 25 · 35 · 118 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 11- 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,78527,4762069] |
[a1,a2,a3,a4,a6] |
j |
30228456935951/22947512544 |
j-invariant |
L |
0.46427479538062 |
L(r)(E,1)/r! |
Ω |
0.23213739769032 |
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 |
63162cj1 1914k1 |
Quadratic twists by: -3 -11 |