Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760dv |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3050003496960 = -1 · 221 · 37 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20523,-1134758] |
[a1,a2,a3,a4,a6] |
Generators |
[2837:150912:1] |
Generators of the group modulo torsion |
j |
-320153881321/1021440 |
j-invariant |
L |
6.2767552287915 |
L(r)(E,1)/r! |
Ω |
0.19940056246131 |
Real period |
R |
3.9347652436272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11970bq1 31920ca1 |
Quadratic twists by: -4 -3 |