Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552cu |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-399877530845184 = -1 · 217 · 37 · 75 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10271,871297] |
[a1,a2,a3,a4,a6] |
j |
914133635854/3050823447 |
j-invariant |
L |
3.7733532362256 |
L(r)(E,1)/r! |
Ω |
0.37733532712519 |
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 |
111552bf1 27888k1 |
Quadratic twists by: -4 8 |