Atkin-Lehner |
2- 3+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bu |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
384384 |
Modular degree for the optimal curve |
Δ |
-25736100414750 = -1 · 2 · 37 · 53 · 112 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32748,-2307669] |
[a1,a2,a3,a4,a6] |
Generators |
[19110:921921:8] |
Generators of the group modulo torsion |
j |
-31071976024968341/205888803318 |
j-invariant |
L |
9.246105518298 |
L(r)(E,1)/r! |
Ω |
0.17737865241449 |
Real period |
R |
4.3438642889474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450bg1 |
Quadratic twists by: 5 |