Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400u |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
-22634700000000 = -1 · 28 · 3 · 58 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7833,-348963] |
[a1,a2,a3,a4,a6] |
Generators |
[217:2850:1] |
Generators of the group modulo torsion |
j |
-531573760/226347 |
j-invariant |
L |
5.6034450733517 |
L(r)(E,1)/r! |
Ω |
0.24857099777031 |
Real period |
R |
0.62618427559422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400cq1 |
Quadratic twists by: 5 |