Atkin-Lehner |
2+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
90200d |
Isogeny class |
Conductor |
90200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
9020000000000 = 211 · 510 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11+ 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5208,-8912] |
[a1,a2,a3,a4,a6] |
j |
781250/451 |
j-invariant |
L |
0.61336504815709 |
L(r)(E,1)/r! |
Ω |
0.61336500394939 |
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 |
90200t1 |
Quadratic twists by: 5 |