Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2090f |
Isogeny class |
Conductor |
2090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2131914391552000 = -1 · 232 · 53 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11504,2274560] |
[a1,a2,a3,a4,a6] |
j |
-168380411424176601/2131914391552000 |
j-invariant |
L |
1.1803281110538 |
L(r)(E,1)/r! |
Ω |
0.39344270368461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720bj1 66880p1 18810u1 10450r1 |
Quadratic twists by: -4 8 -3 5 |