Atkin-Lehner |
2- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
89540i |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
23476584647120 = 24 · 5 · 118 · 372 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276525,55876720] |
[a1,a2,a3,a4,a6] |
j |
82499704324096/828245 |
j-invariant |
L |
1.2204756283421 |
L(r)(E,1)/r! |
Ω |
0.61023774957845 |
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 |
8140b1 |
Quadratic twists by: -11 |