Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kt |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
33538050000000 = 27 · 34 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59263,5541017] |
[a1,a2,a3,a4,a6] |
Generators |
[302:-4051:1] |
Generators of the group modulo torsion |
j |
1202593778785/1752192 |
j-invariant |
L |
12.598642994207 |
L(r)(E,1)/r! |
Ω |
0.65448188091942 |
Real period |
R |
0.11458212177741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550bk1 95550hq1 |
Quadratic twists by: 5 -7 |