Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bn |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1086923059200 = -1 · 212 · 35 · 52 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1484,45200] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:56:1] [-16:140:1] |
Generators of the group modulo torsion |
j |
1001151776231/3010867200 |
j-invariant |
L |
17.852458406414 |
L(r)(E,1)/r! |
Ω |
0.61458269767343 |
Real period |
R |
0.12103374150371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119130b1 |
Quadratic twists by: -19 |