Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bb |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1587798483750000 = -1 · 24 · 33 · 57 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13349,-1821802] |
[a1,a2,a3,a4,a6] |
Generators |
[163:-2248:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
6.7272824107905 |
L(r)(E,1)/r! |
Ω |
0.23769704588689 |
Real period |
R |
1.1792466024949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830v1 150c1 |
Quadratic twists by: 5 -19 |