Atkin-Lehner |
2- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656bm |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-52746616832 = -1 · 215 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 0 7- -5 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-11039] |
[a1,a2,a3,a4,a6] |
Generators |
[25:56:1] [67:532:1] |
Generators of the group modulo torsion |
j |
-125000/1609699 |
j-invariant |
L |
9.8062714041412 |
L(r)(E,1)/r! |
Ω |
0.51105876699673 |
Real period |
R |
0.79950617848988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656bf1 55328c1 |
Quadratic twists by: -4 8 |