Atkin-Lehner |
2- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84656h |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-17762171723186176 = -1 · 229 · 11 · 133 · 372 |
Discriminant |
Eigenvalues |
2- 0 1 3 11+ 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51013,-4631318] |
[a1,a2,a3,a4,a6] |
j |
3584316551198319/4336467705856 |
j-invariant |
L |
1.6675510666522 |
L(r)(E,1)/r! |
Ω |
0.20844387553717 |
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 |
10582h1 |
Quadratic twists by: -4 |