Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910w |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-416746259100817280 = -1 · 27 · 5 · 1711 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 5 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,117039,-26917457] |
[a1,a2,a3,a4,a6] |
Generators |
[5943:80536:27] |
Generators of the group modulo torsion |
j |
7345506701519/17265461120 |
j-invariant |
L |
6.2063002925356 |
L(r)(E,1)/r! |
Ω |
0.15460060229037 |
Real period |
R |
1.43371745385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3230f1 |
Quadratic twists by: 17 |