Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700k |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-1211962500000000 = -1 · 28 · 36 · 511 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-737175,243620750] |
[a1,a2,a3,a4,a6] |
Generators |
[455:1550:1] |
Generators of the group modulo torsion |
j |
-15193155676624/415625 |
j-invariant |
L |
7.0225034517073 |
L(r)(E,1)/r! |
Ω |
0.45157879289943 |
Real period |
R |
2.5918339323253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300b1 23940r1 |
Quadratic twists by: -3 5 |