Atkin-Lehner |
2+ 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
44376b |
Isogeny class |
Conductor |
44376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-34080768 = -1 · 211 · 32 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 3 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,-180] |
[a1,a2,a3,a4,a6] |
j |
10750/9 |
j-invariant |
L |
2.2875346323219 |
L(r)(E,1)/r! |
Ω |
1.1437673161335 |
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 |
88752i1 44376h1 |
Quadratic twists by: -4 -43 |