Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150w |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-4061250000000 = -1 · 27 · 32 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4701,157048] |
[a1,a2,a3,a4,a6] |
Generators |
[58:254:1] |
Generators of the group modulo torsion |
j |
-3258025/1152 |
j-invariant |
L |
6.3380837719947 |
L(r)(E,1)/r! |
Ω |
0.73624211136682 |
Real period |
R |
4.3043474925942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150ch1 54150bn1 |
Quadratic twists by: 5 -19 |