Atkin-Lehner |
3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43365d |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
937074285 = 33 · 5 · 76 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -5 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,776] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:24:1] |
Generators of the group modulo torsion |
j |
16777216/7965 |
j-invariant |
L |
3.5520084957098 |
L(r)(E,1)/r! |
Ω |
1.4004354559645 |
Real period |
R |
1.2681800080789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
885c1 |
Quadratic twists by: -7 |