Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44376a |
Isogeny class |
Conductor |
44376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27456 |
Modular degree for the optimal curve |
Δ |
549552384 = 28 · 33 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-444,-3276] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] |
Generators of the group modulo torsion |
j |
476656/27 |
j-invariant |
L |
1.9051839973573 |
L(r)(E,1)/r! |
Ω |
1.0435285397144 |
Real period |
R |
1.8257133608193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88752h1 44376i1 |
Quadratic twists by: -4 -43 |