Atkin-Lehner |
2- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850z |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-1828127300000000 = -1 · 28 · 58 · 173 · 612 |
Discriminant |
Eigenvalues |
2- -1 5- 3 0 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-244013,46338531] |
[a1,a2,a3,a4,a6] |
Generators |
[211:1968:1] |
Generators of the group modulo torsion |
j |
-4113416461755505/4680005888 |
j-invariant |
L |
8.2951928461984 |
L(r)(E,1)/r! |
Ω |
0.46790204744996 |
Real period |
R |
0.36934336699382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850b1 |
Quadratic twists by: 5 |